Infobox scientist name EdwardWitten image Edward Witten.jpg image size 250px caption birth date birth ... witten footnotes EdwardWitten born August 26, 1951 is an American theoretical physicist with a focus ... article 0,9171,994019,00.html title EdwardWitten work Time date April 26, 2004 accessdate November 1, 2011 author Lemonick, Michael ref Birth and education Witten was born in Baltimore, Maryland Baltimore , Maryland to a Jewish family, the son of Lorraine W. Witten and Louis Witten , a theoretical ... a MacArthur Foundation fellowship 1982 . Research File Gross Witten Hawking TIFR 2001.jpg thumb Edward ... book The Grand Design , wrote that M theory may be the ultimate theory of the universe. EdwardWitten ... of EdwardWitten when being awarded the Field s medal ref ref http www.ias.edu newsroom announcements ... EdwardWitten , Institute for Advanced Study announcement, 22 October 2003 ref by the International ... and Daniela, and one son, Rafael, and a granddaughter Nava. EdwardWitten serves on the board of directors ... id 5000000000422 EdwardWitten , The President s National Medal of Science Recipient Details. ref ... see Wikipedia Persondata NAME Witten, Edward ALTERNATIVE NAMES SHORT DESCRIPTION Mathematical physicist ... PLACE OF DEATH DEFAULTSORT Witten, Edward Category 1951 births Category 20th century mathematicians ... zh min nan EdwardWitten be x old bg cs EdwardWitten da EdwardWitten de EdwardWitten el es EdwardWitten fa fr EdwardWitten ko it EdwardWitten he ht EdwardWitten la Eduardus Witten lt EdwardWitten hu EdwardWitten nl EdwardWitten ja no EdwardWitten pnb pl EdwardWitten pt EdwardWitten ru , sk EdwardWitten sl EdwardWitten fi EdwardWitten sv EdwardWitten tr Edward ... for Advanced Study . Witten is a researcher in superstring theory , a theory of quantum gravity ... Union of Mathematics. In 2004, Time magazine wrote that Witten was generally considered the greatest ... more details
Otheruses Refimprove date March 2010 Infobox German location image photo Rathaus Witten IMG 3580.jpg imagesize 250px image caption Town hall in Witten Art Stadt Name Witten Wappen Wappen von Witten.png lat deg 51 lat min 26 lat sec 0 lon deg 7 lon min 20 lon sec 0 Lageplan Witten in EN.svg Bundesland ... 9 54 036 Stadtgliederung 8 districts Adresse Marktstr. 16 br 58449 Witten Website http www.witten.de witten.de B rgermeistertitel B rgermeisterin B rgermeister Sonja Leidemann Partei SPD Witten is a university city in North Rhine Westphalia , Germany . It is the home of the Witten Herdecke University , the first private university in Germany. Geography Witten is situated in the Ruhr river Ruhr valley ... Hattingen Division of the town Witten is divided into 8 boroughs and every of these boroughs is divided into city districts. Every district has it own district number Witten Mitte 11 Innenstadt ... Stadion, 18 Industriegebiet Nord, 19 Witten Hohenstein Hohenstein Dueren 21 Dueren Nord, 22 Dueren Sued Witten Stockum Stockum 31 Stockum Mitte, 32 Dorney, 33 Stockumer Bruch, 34 Wilhelmshoehe Witten Annen Annen 41 Tiefendorf, 42 Witten Wullen Wullen , 43 Annen Mitte Nord, 44 Annen Mitte Sued, 45 Kohlensiepen, 46 Wartenberg, 47 Witten Gedern Gedern Witten Ruedinghausen Ruedinghausen 51 Industriegebiet Ost, 52 Ruedinghausen Mitte, 53 Buchholz, 54 Schnee Witten Bommern Bommern 61 Steinhausen, 62 Bommerbank, 63 Bommerfeld, 64 Wettberg, 65 Buschey, 66 Bommeregge Witten Heven Heven 71 Heven Papenholz ... Bommerholz Muttental, 84 Durchholz, 85 Witten Buchholz Kaempen Buchholz Kaempen Religions File Witten Marienkirche.jpg thumb 95px Maria Church Roman Catholic When Witten was first mentioned in historical .... Hundreds settled in Witten, leading to a growth in the Catholic community. Today, between 30 and 40 per cent of the population is Catholic. Protestant In the 16th century Witten was influenced by Martin Luther s Protestant Reformation Reformation , and until the late 19th century, Witten was a predominantly ... more details
Witten may mean Witten, Germany Witten, Netherlands , in the Netherlands Witten, South Dakota and New Witten, South Dakota , in the United States Witten Valley , Tazewell County, Virginia, in the United States Witten Fork , Monroe County, Ohio, stream in the United States Surname Louis Witten , American theoretical physicist and father of both Edward and Matt WittenEdwardWitten , theoretical physicist who works mainly in string theory Matt Witten , screenwriter Jesse Witten , American tennis player Jason Witten , football player in the NFL See also Sergei Witte Disambig Category Surnames de Witten Begriffskl rung fr Witten homonymie nl Witten pl Witten ru ... more details
Matthew Witten born in Baltimore is a television writer for House TV series House and other shows. He also has written several mystery books, the first of which was Breakfast at Madeline s . Witten currently resides in Los Angeles with his wife and two sons. He is the son of Louis Witten and the brother of EdwardWitten , both of whom are theoretical physics theoretical physicists . He is credited as the writer for the Supernatural TV series Supernatural episode No Exit Supernatural No Exit which centres on the ghost of H. H. Holmes . References http www.murderexpress.net mattwitten A Short Biography of Matt Witten imdb name 0936976 Persondata Metadata see Wikipedia Persondata . NAME Witten, Matt ALTERNATIVE NAMES SHORT DESCRIPTION Television writer DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Witten, Matt Category American television producers Category American television writers Category Living people Category People from Baltimore, Maryland Category Year of birth missing living people US tv writer stub ... more details
. They had four children, EdwardWittenEdward , Celia, Matt Witten Matthew , and Jesse. Lorraine died ...Infobox scientist name Louis W. Witten image image size caption birth date birth date and age 1921 4 13 birth place Baltimore, Maryland Baltimore , Maryland residence nationality United States American death date death place field Theoretical physics br Gravitation erdos number work institution Princeton University alma mater Johns Hopkins University PhD br Princeton University Postdoctoral research doctoral advisor doctoral students known for Gravitation br Electrovacuum solution br Einstein field equation br societies prizes spouse children EdwardWitten br Matt Witten br Celia br Jesse religion handedness website footnotes Louis Witten born April 13, 1921 is an United States American theoretical physics theoretical physicist and the father of EdwardWitten . Witten s research has centered around classical gravitation , including the discovery of certain exact electrovacuum solution s to the Einstein field equation . He edited an important review see citation below which contains papers .... Early life and education Louis Witten was born to a Jewish family in Baltimore , Maryland . His parents, Abraham Witten and Bessie Perman, emigrated to the United States from Eastern Europe as teenagers in 1909 and were married in 1916. Witten graduated as a Civil Engineer from The Johns Hopkins University ... Laboratory of MIT, Witten joined RIAS, the research laboratory of the Martin Marietta Corporation ... Research Foundation . References cite book author Witten, Louis Editor title Gravitation ... Witten on his Retirement location Singapore publisher World Scientific year 1993 isbn 981 02 1290 9 Persondata Metadata see Wikipedia Persondata . NAME Witten, Louis ALTERNATIVE NAMES SHORT DESCRIPTION ... Baltimore , Maryland DATE OF DEATH PLACE OF DEATH DEFAULTSORT Witten, Louis Category 1921 births Category ... faculty Category Living people US physicist stub de Louis Witten ... more details
Wullen is a city district of Witten Annen , which is a part of the City of Witten, Germany Witten , North Rhine Westphalia , Germany . Wullen is placed about 3 kilometres northeast of the City of Witten. Image Universit t Witten 3.jpg thumb Main building of the Universit t Witten Herdecke History 1019 First mentioned. 1809 French soldiers occupate the village, with other villages of the area it became part of the Mairie Witten . 1885 Incorporation with the Landkreis Hoerde 1929 Incorporation with Witten. 1991 1993 The campus of the Witten Herdecke University was built in Wullen. External links http www.uni wh.de uni wh.de , official website of the university German coord 51 27 23.73 N 7 21 33.31 E region DE NW type landmark source dewiki display title Category North Rhine Westphalia de Witten Wullen it Witten Wullen nl Witten Wullen ... more details
last1 Witten first1 Edward author1 link EdwardWitten title Surveys in differential geometry Cambridge ... Citation last1 Witten first1 Edward author1 link EdwardWitten editor1 last Goldberg editor1 first ...In algebraic geometry, the Witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves , introduced by harvs txt last Witten authorlink EdwardWitten year 1991 , and generalized in harv Witten 1993 . Witten s original conjecture was proved by harvtxt Kontsevich 1992 . Witten s motivation for the conjecture was that two different models of 2 dimensional quantum gravity should have the same partition function. The partition function for one of these models can be described in terms of intersection numbers on the moduli stack of algebraic curves, and the partition function for the other is the logarithm of the function of the KdV hierarchy . Identifying these partition functions gives Witten s conjecture that a certain generating function formed from intersection numbers should satisfy the differential equations of the KdV hierarchy. Statement Suppose that M sub g , n sub is the moduli stack of compact Riemann surfaces of genus g with n distinct marked points x sub 1 sub ,..., x sub n sub , and overline M sub g , n sub is its Deligne Mumford compactification. There are n line bundles L sub i sub on overline M sub g , n sub , whose fiber at a point of the moduli stack is given by the cotangent space of a Riemann surface at the marked ... is the first Chern class of a line bundle. Witten s generating function math F t 0,t 1, ldots sum .... Witten s conjecture states that the partition function Z exp F is a function for the KdV ... for the KdV hierarchy, thus proving Witten s conjecture. See also The Virasoro conjecture is a generalization of the Witten conjecture. References Citation last1 Cornalba first1 Maurizio last2 Arbarello ... K. title An algebro geometric proof of Witten s conjecture url http dx.doi.org 10.1090 S0894 0347 ... more details
Unreferenced date December 2009 Image Witten Annen kathKirche.jpg right thumb 200px The St. Josef Church in Annen Since 1929, Annen has been a part of the City of Witten, Germany Witten since 1946 North Rhine Westphalia , Germany . As one of the eight boroughs of Witten, it is now called Witten Annen. Before the incorporation with Witten in 1929, Annen was part of the administrative district Landkreis Hoerde . Today, Annen has about 19,000 inhabitants. Witten Annen has an institute for Waldorf pedagogics, as well as a Waldorf school. This school annually hosts the international eurythmy festival, Forum Eurythmie . It is served by Witten Annen Nord station on Rhine Ruhr S Bahn S5 Rhine Ruhr S Bahn line S 5 . Coord 51 26 59 N 7 22 32 E region DE NW type city display title Category Witten EnnepeRuhrKreis geo stub de Witten Annen ... more details
Witten invariant may refer to Gromov Witten invariant Seiberg Witten invariant Quantum invariant mathdab Short pages monitor This long comment was added to the page to prevent it being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Longcomment. Please do not remove the monitor template without removing the comment as well. ... more details
Infobox settlement name Witten coordinates region NL subdivision type List of sovereign states Country subdivision name Netherlands subdivision type1 Province subdivision name1 Drenthe subdivision type2 Municipality subdivision name2 Assen population area km2 population as of postal code dialling code image shield latNS N longEW E latd 52 latm 58 lats 51 longd 6 longm 30 longs 59 Witten is a village in the Netherlands and it is part of the Assen municipality in Drenthe . Witten has an altitude of about 11 meters. External links http www.fallingrain.com world NL 1 Witten.html Map of the area of Witten Coord 52 58 N 6 31 E region NL type city display title Assen town Category Populated places in Drenthe Drenthe geo stub de Witten Drenthe nl Witten Drenthe ... more details
Image Bergerdenkmal Witten.jpg thumb 200px The Berger Monument in Witten Image Bergerdenkmal Witten Aussicht.jpg thumb left View from the monument over the Ruhr valley The Hohenstein is the central forest of Witten, Germany Witten , North Rhine Westphalia , Germany . As a forest its name is just Hohenstein . But Hohenstein is also the name if a city district of Wittens borough Mitte . It has the district number 19. As a district it has nearly no population. As a forest the Hohenstein is well known in the region, the Mittlere Ruhrtal Middle Ruhr valley because of its Berger Denkmal , from which visitors have a view over the whole Ruhr river Ruhr valley between the cities of Witten and Wetter Ruhr Wetter . The monument was built in remembrance of the German industrialist Louis Constans Berger 1829 1891 , whose factory formerly Gussstahlwerk is still producing steel for the world market. The factory is now known as Deutsches Edelstahlwerk. External links http www.route industriekultur.de primaer p08 p08.htm Route Industriekultur , the Berger Monument in Witten German language http www.ruhr guide.de rg.php left menu mid artikel id 8607 kat id 1 parent id 5 kp id 0 Ruhr Guide , The Hohenstein German language Commons left Witten EnnepeRuhrKreis geo stub coord 51 25 43 N 7 21 11 E display title region DE NW type mountain source dewiki Category Witten de Witten Hohenstein ... more details
unreferenced date July 2008 Image Witten Stockum HoerderStrasse.jpg thumb 230px The main street of Stockum The Hoerder Strasse Witten Stockum is a borough of the City of Witten . It has about 6.300 inhabitants 2003 . History Stockum was first mentioned in 882 as villa stochem . Villa stochem was a little castle that was owned by a knight who called himself op der Heyde . During the so called Dortmunder Fehde in 1388 89, Stochem was burned down by soldiers from Archebishop of Cologne, who fought a war against Dortmund , that was just a few kilometres north of the village. In 1423 24 it was burned down for the second time this time by troops of the Margrave of the County Mark who fought a war against his own brother. In 1701 Stockum became a part of Prussia , 1752 the first coal mine was built and the era of mining began. This era ended in 1904. In 1929 Stockum became a borough of Witten. coord 51 28 N 7 22 E display title Category Witten Category Towns in North Rhine Westphalia EnnepeRuhrKreis geo stub de Witten Stockum ... more details
Notability Astro date February 2012 Infobox planet minorplanet yes width 25em bgcolour FFFFC0 apsis name Witten symbol image caption discovery yes discovery ref discoverer E. W. Elst discovery site European Southern Observatory discovered May 3, 1997 designations yes mp name 11349 alt names 1997 JH16 mp category orbit ref epoch May 14, 2008 aphelion 2.6861984 perihelion 2.0772662 semimajor eccentricity 0.1278339 period 1342.5727700 avg speed inclination 5.45858 asc node 202.66075 mean anomaly 306.37270 arg peri 94.12634 satellites physical characteristics yes dimensions mass density surface grav escape velocity sidereal day axial tilt pole ecliptic lat pole ecliptic lon albedo temperatures temp name1 mean temp 1 max temp 1 temp name2 max temp 2 spectral type abs magnitude 14.9 11349 Witten 1997 JH16 is a Asteroid belt main belt asteroid discovered on May 3, 1997 by E. W. Elst at the European Southern Observatory . References Reflist External links http ssd.jpl.nasa.gov sbdb.cgi?sstr 11349 Witten JPL Small Body Database Browser on 11349 Witten DEFAULTSORT Witten Category Main Belt asteroids Category Astronomical objects discovered in 1997 beltasteroid stub fa it 11349 Witten hu 11349 Witten pl 11349 Witten pt 11349 Witten vi 11349 Witten yo 11349 Witten ... more details
nfl WIT559021 Christopher Jason Witten born May 6, 1982 ref name ProFootballReference.com cite web title Witten on Pro Football Reference work rbref.com url http www.pro football reference.com players ... . In his first of three years at the University of Tennessee, Witten went from being a defensive end ... ref Professional career 2004 In 2004 NFL season 2004 , Witten had 87 catches, eleventh most in history ... . Witten was also named to his second and third Pro Bowls for his performance in the 2005 and 2006 regular ... Pro Bowl . Witten was named a starter for the 2008 Pro Bowl. 2005 Witten was named to his second Pro Bowl for his performance in the 2005 season. 2006 At the end of the 2006 NFL season , Witten ... 60 receptions. Witten was named to his third Pro Bowl for his performance in the 2006 season. On July 22, 2006 Witten signed a six year, 29 million contract extension through 2012. The deal contains ... year. Citation needed date August 2009 2007 Witten had a career year during the 2007 NFL season . He ... Lions , Jason Witten s 15 receptions tied an NFL record held by Hall of Famer Kellen Winslow ... of the year, Witten became the first Dallas tight end ever to gain over 1,000 receiving yards in a season. Witten was also one of the NFL record 13 Cowboys players selected to the Pro Bowl. ref cite ..., he made a 53 yard reception after losing his helmet. Witten was nominated for the 2007 Walter ... Witten made his 400th career reception in the Cowboys Thanksgiving Day game against the Seattle Seahawks on November 27, 2008. Witten was named a starter for the 2008 Pro Bowl. 2009 Jason Witten had ... Iron Man award. citation needed date May 2011 2010 Witten banged his head on the turf after making .... In a Week 15 game against the Washington Redskins, Witten became the fastest Tight End ... for the NFC. ref http cowboysblog.dallasnews.com archives 2010 09 jason witten diagnosed with a.html ref At the conclusion of the 2010 season, Jason Witten was named Tight End of the Year by the National ... more details
Infobox NFL player name Lindsey Witten image alt caption currentteam Chicago Rush currentnumber 7 currentposition currentpositionplain Linebacker Defensive end birth date birth date and age 1988 04 28 birth place death date death place heightft 6 heightin 4 weight 250 highschool Glenville High School ... statlabel6 statvalue6 nfl WIT565021 pfr dbf Lindsey Rashaun Witten born April 28, 1988 is an American ... Huskies football University of Connecticut High school career Witten was an All State honorable ... of the top programs in the state of Ohio as the Tarblooders had 15 Division I signees in Witten s senior ... nfl draft players 1277509 ref College career Witten played his career at the Connecticut Huskies football University of Connecticut Witten was a First Team All Big East selection in 2009. He was considered ... Steelers Witten went undrafted in the 2010 NFL Draft . The Pittsburgh Steelers signed him as a free ... nfl draft 042.artapr27,0,1523598.story title Dixon, Witten, Cullen, Hicks, Ryan Head To NFL Camps ... ref Witten was released by the Steelers during July 2010 training camp. Hartford Colonials The Hartford Colonials signed Witten as a free agent on August 5, 2010. Witten never played a down for Hartford. ref http www.ufl football.com news colonials add former uconn defense end lindsey witten roster ref Calgary Stampeders The Calgary Stampeders signed Witten as a free agent on May 16, 2011. Personal ... , Donte Whitner . ref cite web url http www.steelers.com team roster Lindsey Witten d06b57cb f58d 4a95 b281 ade1eeaa7933 title Lindsey Witten author date work publisher Pittsburgh Steelers accessdate May 25, 2010 ref External links http www.uconnhuskies.com sports m footbl mtt witten lindsey00.html Connecticut Huskies Bio http www.steelers.com team roster Lindsey Witten d06b57cb f58d 4a95 b281 ... . NAME Witten, Lindsey ALTERNATIVE NAMES SHORT DESCRIPTION American football player DATE OF BIRTH 1988 04 28 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Witten, Lindsey Category 1988 births ... more details
In quantum field theory and statistical mechanics , the Witten index at the inverse temperature is defined as a modification of the standard partition function math Tr 1 F e beta H math Note the 1 F 1 sup F sup operator, where F is the fermion number operator . This is what makes it different from the ordinary partition function mathematics partition function . In a supersymmetry supersymmetric theory, each nonzero energy eigenvalue contains an equal number of bosonic and fermionic states. Because of this, the Witten index is independent of the temperature and gives the number of zero energy bosonic vacuum state s minus the number of zero energy fermionic vacuum states. In particular, if supersymmetry breaking supersymmetry is spontaneously broken then there are no zero energy ground states and so the Witten index is equal to zero. The Witten index of a supersymmetric field theory is an example of a quasi topological quantity, which is a quantity that depends only on F term s and not on D term s in the Lagrangian . A more refined invariant in 2 dimensional theories, constructing using only the right moving part of the fermion number operator together with a 2 parameter family of variations, is the Genus of a multiplicative sequence elliptic genus . References Reflist Unreferenced date September 2010 DEFAULTSORT Witten Index Category Statistical mechanics Category Supersymmetry Quantum stub ... more details
coord 39.5859088 80.9720500 region US VA type isle format dms display title Witten Towhead is a shoal bar island or towhead river island on the Ohio River in Tyler County, West Virginia Tyler County , West Virginia . It is located to the southwest of Paden City, West Virginia Paden City . Witten Towhead is a part of the Ohio River Islands National Wildlife Refuge . See also List of islands of West Virginia TylerWV geo stub Category Islands of West Virginia Category Geography of Tyler County, West Virginia Category Islands of the Ohio River ... more details
refimprove date January 2011 Infobox tennis biography name Jesse Witten image Jesse Witten.jpg country USA residence Naples, Florida birth date birth date and age 1982 10 15 birth place Naples, Florida height height m 1.79 precision 0 weight convert 82 kg lb abbr on turnedpro 2005 plays Right handed two handed backhand careerprizemoney about U.S. dollars 275,000 singlesrecord 2 7 singlestitles 0 highestsinglesranking No. 163 January 11, 2010 currentsinglesranking No. 212 February 7, 2011 AustralianOpenresult FrenchOpenresult 1R 2010 Wimbledonresult 1R 2010 USOpenresult 3R 2009 doublesrecord 35 57 doublestitles highestdoublesranking No. 297 April 19, 2010 updated June 14, 2010 Jesse Witten born October 15, 1982, in Naples, Florida is an American professional list of male tennis players tennis player . He is a graduate of Lely High School and the University of Kentucky , where he majored in Kinesiology. College career Witten had a highly successful college career at the University of Kentucky ... Witten qualified for the 2009 US Open tennis 2009 U.S. Open , where he won his first round match ... , 6 4, 7 5, 6 3. In the third round, Witten lost the match to Novak Djokovic , 7 6 2 3 6, 6 7 2 , 4 ... Hewitt to reach last 16 in New York.html ref 2010 Witten qualified into the 2010 French Open but was defeated in the first round by the 25 seed Marcos Baghdatis 6 3, 6 4, 6 3. Playing style Witten ...?players Witten&weeks 12 Witten Recent Match Results http steveghelper.com RankingHistory.php?player WittenWitten World Ranking History http www.facebook.com people Jesse Witten 509171455 Jesse Witten Facebook http www.observer.com 2009 introducing witten wall The New York Observer Persondata Metadata see Wikipedia Persondata . NAME Witten, Jesse ALTERNATIVE NAMES SHORT DESCRIPTION American ... DEFAULTSORT Witten, Jesse Category 1982 births Category Living people Category American male tennis ... Tennis people from Florida ca Jesse Witten it Jesse Witten pt Jesse Witten ... more details
The Seiberg Witten map is a Map mathematics map used in gauge theory and string theory introduced by Nathan Seiberg and EdwardWitten which relates Noncommutative geometry non commutative degress of freedom of a gauge theory to their commutative counterparts. It was argued by Seiberg and Witten that certain non commutative gauge theories are equivalent to commutative ones and that there exists a map from a commutative gauge field to a non commutative one, which is compatible with the Gauge theory gauge structure of each. References Citation last1 Seiberg first1 Nathan author1 link Nathan Seiberg last2 Witten first2 Edward author2 link EdwardWitten title String theory and noncommutative geometry url http arxiv.org pdf hep th 9908142.pdf year 1999 Category gauge theory Category string theory ... more details
Unreferenced date December 2008 In theoretical physics , a Ho ava Witten domain wall is a type of domain wall that behaves as a boundary of the eleven dimensional spacetime in M theory . Petr Ho ava and EdwardWitten argued that the cancellation of anomaly physics anomalies guarantees that a supersymmetry supersymmetric gauge theory with the E8 mathematics E8 gauge group mathematics group propagates on this domain wall. This fact is important for various relations between M theory and superstring theory . DEFAULTSORT Horava Witten Domain Wall Category String theory physics stub ... more details
In theoretical physics , the Vafa Witten theorem , named after Cumrun Vafa and EdwardWitten , is a theorem that shows that vector like i.e. those which transform as expected under reflections global symmetry global symmetries such as isospin and baryon number cannot be spontaneous symmetry breaking spontanteously broken as long as the theta angle is zero. References Cite journal doi 10.1103 PhysRevLett.53.535 author1 link Cumrun Vafa last1 Vafa first1 Cumrun author2 link EdwardWitten last2 Witten first2 Edward title Parity Conservation in Quantum Chromodynamics journal Phys. Rev. Lett. volume 53 issue 6 pages 535 536 date Augustus 1984 bibcode 1984PhRvL..53..535V Category Quantum field theory quantum stub fa ... more details
In mathematics, the Witten zeta function , introduced by harvtxt Witten 1991 , is a function associated to a root system that encodes the degrees of the irreducible representations of the corresponding Lie group . It is a special case of the Shintani zeta function . Definition Witten s original definition of the zeta function of a semisimple Lie group was math sum R frac 1 dim R s math where the sum is over equivalence classes of irreducible representations R . If &Delta of rank r is a root system with n positive roots in &Delta sup sup and with simple roots &lambda sub i sub , the Witten zeta function of several variables is given by math zeta W s 1, dots,s n sum m 1, dots,m r 0 prod alpha in Delta frac 1 alpha or, m 1 lambda 1 cdots m r lambda r s alpha , math The original zeta function studied by Witten differed from this slightly, in that all the numbers s sub &alpha sub are equal, and the function is multiplied by a constant. References Citation last1 Witten first1 Edward author1 link EdwardWitten title On quantum gauge theories in two dimensions url http projecteuclid.org getRecord?id euclid.cmp 1104248198 id MathSciNet id 1133264 year 1991 journal Communications in Mathematical Physics issn 0010 3616 volume 141 issue 1 pages 153 209 Citation last1 Zagier first1 Don authorlink Don Zagier title First European Congress of Mathematics, Vol. II Paris, 1992 publisher Birkh user location Basel, Boston, Berlin series Progr. Math. id MathSciNet id 1341859 year 1994 volume 120 chapter Values of zeta functions and their applications pages 497 512 algebra stub Category zeta and L functions ... more details
Seiberg first N. authorlink1 Nathan Seiberg last2 Witten first2 E. authorlink2 EdwardWitten title ... Seiberg last2 Witten first2 E. authorlink2 EdwardWitten title Monopoles, duality and chiral symmetry ... citation last Witten first Edward title Monopoles and four manifolds. journal Mathematical Research ...In mathematics, Seiberg Witten invariants are invariants of compact smooth 4 manifold s introduced by harvtxt Witten 1994 , using the Seiberg Witten theory studied by harvs txt yes last Seiberg author link Nathan Seiberg last2 Witten author2 link EdwardWitten year1 1994a year2 1994b during their investigations of Seiberg Witten gauge theory . Seiberg Witten invariants are similar to Donaldson invariant ... spaces of solutions of the Seiberg Witten equations tend to be compact, so one avoids the hard problems ... Witten invariants see harv Donaldson 1996 , harv Moore 2001 , harv Morgan 1996 , harv Nicolaescu ... Witten invariant s see harv Taubes 2000 . For the early history see harv Jackson 1995 . Spin sup c sup structures The Seiberg Witten equations depend on the choice of a complex spin structure , Spin sup ... spin structure s . Seiberg Witten equations Fix a smooth compact 4 manifold M , choose a spin ... sup and A for a U 1 connection on L . The Seiberg Witten equations for &phi , A are math D A phi ..., often taken to be zero or harmonic. The solutions &phi , A to the Seiberg Witten equations are called ... spaces of arbitrarily high dimension. Seiberg Witten invariants The Seiberg Witten invariants ... Seiberg Witten invariants of M vanish. If the manifold M is the connected sum of two manifolds both of which have b sub 2 sub sup sup &ge 1 then all Seiberg Witten invariants of M vanish. If the manifold ... sup c sup structure s on which the Seiberg Witten invariant is 1. In particular it cannot be split as a connected ... S. K. authorlink Simon Donaldson title The Seiberg Witten equations and 4 manifold topology. journal ... Witten equations and applications to the topology of smooth four manifolds series Mathematical ... more details
orphan date April 2010 Unreferenced date June 2009 In theoretical physics the Hanany Witten transition , also called the Hanany Witten effect , refers to any process in a superstring theory in which two p branes cross resulting in the creation or destruction of a third p brane. A special case of this process was first discovered by Amihay Hanany and EdwardWitten in their 1996 paper http arxiv.org abs hep th 9611230 Type IIB Superstrings, BPS Monopoles, And Three Dimensional Gauge Dynamics . All other known cases of Hanany Witten transitions are related to the original case via combinations of S duality S dualities and T duality T dualities . The original effect The original Hanany Witten transition was discovered in type IIB superstring theory in flat, 10 dimensional Minkowski space . They considered a configuration of NS5 brane s, D brane D5 branes and D3 branes which today is called a Hanany Witten brane cartoon . They demonstrated that a subsector of the corresponding open string theory is described by a 3 dimensional Yang Mills theory Yang Mills gauge theory . However they found that the string theory space of solutions, called the moduli space , only agreed with the known Yang Mills moduli space if whenever an NS5 brane and a D5 brane cross, a D3 brane stretched between them is created or destroyed. They also presented various other arguments in support of their effect, such as a derivation from the worldvolume Wess Zumino terms . This proof uses the fact that the Ramond Ramond field flux from each brane renders the action physics action of the other brane ill defined if one does not include the D3 brane. The S rule Furthermore they discovered the S rule , which states that in a supersymmetry supersymmetric configuration the number of D3 branes stretched between a D5 brane and an NS5 brane may only be equal to 0 or 1. Then the Hanany Witten effect implies that after the D5 brane and the NS5 brane cross, if there was a single D3 brane stretched between them it will be destroyed ... more details
Infobox Deutsche Bahn station logo Image S Bahn Logo.svg 30px name Witten Hauptbahnhof image Witten hbf.jpg state North Rhine Westphalia category 3 locale Witten type Through station platforms 4 ds100 EWIT start 9 March 1849 1901 street Bergerstra e br 58452 Witten, Germany coordinates coord 51.435299 ... 6822.html www.bahnhof.de architect Richard Sauerbruch lines Witten Dortmund Oberhausen Duisburg railway S Bahn NRW 5 Elberfeld Dortmund railway S Bahn NRW 5 Witten Wengern Ost Schwelm railway Witten Central Station lang de Witten Hauptbahnhof is a railway station in the town of Witten in western Germany . It is situated southwest of the town. In 1849 the station was opened as Witten West by the Bergisch ..., the new station building was designed by the architect Richard Witten Sauerbruch and opened ... the station was renamed Witten Hauptbahnhof . ref name route industriekultur cite web url http www.route industriekultur.de themenrouten tr15 hauptbahnhof witten.html title Witten Hauptbahnhof publisher route industriekultur accessdate 7 September 2011 language German ref History Witten station .... On 26 October 1860, the BME began building Witten Dortmund Oberhausen Duisburg railway its Ruhr ... line through Witten H he to Wengern Ost connecting with the Ruhr Valley Railway on 4 October 1926. In Witten H he, the Witten Wengern Ost Schwelm railway branched off from 15 May 1934 to 30 November ... on the Witten Dortmund Oberhausen Duisburg railway Witten Dortmund Oberhausen Duisburg line to Essen Hauptbahnhof . Since 1988, long distance services have run without stopping in Witten on the same ... lines still in operation on the south bank of the Ruhr Witten Hbf to Witten H he, Witten H he ... Essen Hauptbahnhof Essen Bochum Hauptbahnhof Bochum Witten Hagen Letmathe station Letmathe Finnentrop ... Ruhr Lenne Bahn Essen Bochum Witten Hagen S Bahn NRW 5 Rhine Ruhr S Bahn Dortmund Witten Wetter ... title RRSB s line system RRSB line S5 previous Witten Annen Nord next Wetter end Notes Reflist External ... more details
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