2422:
31:
860:
which relates the physics of this theory to certain physical concepts associated with the surface itself. More recently, theorists have extended these ideas to study the theories obtained by compactifying down to three dimensions.
840:
The (2,0)-theory has proven to be important for studying the general properties of quantum field theories. Indeed, this theory subsumes a large number of mathematically interesting
888:, the branch of mathematics that studies and classifies the different shapes of knots. Another application of the (2,0)-theory in mathematics is the work of Davide Gaiotto,
832:. Despite the inherent difficulty in studying this theory, it is considered to be an interesting object for a variety of reasons, both physical and mathematical.
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Alday, Luis; Gaiotto, Davide; Tachikawa, Yuji (2010). "Liouville correlation functions from four-dimensional gauge theories".
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2013:
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873:
864:
In addition to its applications in quantum field theory, the (2,0)-theory has spawned a number of important results in
177:
876:. In subsequent work, Witten showed that the (2,0)-theory could be used to understand a concept in mathematics called
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Dimofte, Tudor; Gaiotto, Davide; Gukov, Sergei (2010). "Gauge theories labelled by three-manifolds".
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1485:
828:. It is still poorly understood because there is no known description of the theory in terms of an
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Superconformal quantum field theory whose existence is predicted by arguments in string theory
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to give a "physical" explanation for a conjectural relationship in mathematics called the
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and points to new dualities relating these theories. For example, Luis Alday,
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379:
1142:
Khovanov, Mikhail (2000). "A categorification of the Jones polynomial".
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30:
852:, one obtains a four-dimensional quantum field theory, and there is a
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1653:
848:, and Yuji Tachikawa showed that by compactifying this theory on a
130:
125:
1206:
1200:
Witten, Edward (2009). "Geometric
Langlands from six dimensions".
1115:
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60:
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1435:
1425:
1648:
868:. For example, the existence of the (2,0)-theory was used by
55:
1097:"Wall-crossing, Hitchin systems, and the WKB approximation"
1095:
Gaiotto, Davide; Moore, Gregory; Neitzke, Andrew (2013).
1000:
896:, which used physical ideas to derive new results in
1094:
1047:
884:around 2000, Khovanov homology provides a tool in
818:six-dimensional (2,0)-superconformal field theory
2436:
1846:
1257:
824:whose existence is predicted by arguments in
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804:
790:
29:
1232:
1205:
1155:
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1114:
1061:
1014:
1183:"Lecture Notes for Felix Klein Lectures"
1141:
2437:
1931:Two-dimensional conformal field theory
1214:
1199:
1050:Communications in Mathematical Physics
915:N = 4 supersymmetric YangâMills theory
1834:
1245:
1180:
247:= 4 supersymmetric YangâMills theory
2450:Supersymmetric quantum field theory
13:
942:Alday, Gaiotto, and Tachikawa 2010
874:geometric Langlands correspondence
178:Geometric Langlands correspondence
14:
2466:
2426:Template:Quantum mechanics topics
1271:
2421:
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1297:Supersymmetric quantum mechanics
910:ABJM superconformal field theory
842:effective quantum field theories
1003:Letters in Mathematical Physics
835:
981:
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954:
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936:
927:
1:
1166:10.1215/s0012-7094-00-10131-7
994:
987:Gaiotto, Moore, Neitzke 2013
951:Dimofte, Gaiotto, Gukov 2010
816:In theoretical physics, the
7:
2390:Quantum information science
1292:Supersymmetric gauge theory
903:
10:
2471:
1591:Pure 4D N = 1 supergravity
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2298:
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2227:
2176:
2150:
2114:
2078:
2027:
1946:
1939:
1868:
1722:
1639:
1581:
1525:
1499:
1491:Electricâmagnetic duality
1388:
1325:
1279:
1144:Duke Mathematical Journal
1126:10.1016/j.aim.2012.09.027
1080:10.1007/s00220-013-1863-2
1033:10.1007/s11005-010-0369-5
1512:HaagâĆopuszaĆskiâSohnius
1486:Little hierarchy problem
920:
103:Non-perturbative results
2086:2D free massless scalar
1979:Quantum electrodynamics
1906:QFT in curved spacetime
1568:6D (2,0) superconformal
1215:Witten, Edward (2012).
1181:Moore, Gregory (2012).
1102:Advances in Mathematics
2445:Conformal field theory
2407:Quantum thermodynamics
2331:On shell and off shell
2326:Loop quantum cosmology
2168:N = 4 super YangâMills
2127:N = 1 super YangâMills
1994:Scalar electrodynamics
1984:Quantum chromodynamics
1886:Conformal field theory
1862:Quantum field theories
1548:N = 4 super YangâMills
1538:N = 1 super YangâMills
1446:Supersymmetry breaking
1350:Superconformal algebra
1345:Super-Poincaré algebra
1217:"Fivebranes and knots"
219:Conformal field theory
136:AdS/CFT correspondence
2380:Quantum hydrodynamics
2375:Quantum hadrodynamics
1999:Scalar chromodynamics
1626:Type IIB supergravity
1621:Type IIA supergravity
1596:4D N = 1 supergravity
1461:SeibergâWitten theory
1375:Super Minkowski space
1355:Supersymmetry algebra
262:Holographic principle
239:Twistor string theory
2351:Quantum fluctuations
2321:Loop quantum gravity
1891:Lattice field theory
1411:Short supermultiplet
898:hyperkÀhler geometry
822:quantum field theory
214:Theory of everything
2385:Quantum information
1989:Quartic interaction
1631:Gauged supergravity
1616:Type I supergravity
1573:ABJM superconformal
1370:Harmonic superspace
1072:2014CMaPh.325..367D
1025:2010LMaPh..91..167A
252:KaluzaâKlein theory
188:Monstrous moonshine
69:Perturbative theory
38:Fundamental objects
2271:NambuâJona-Lasinio
2199:Higher dimensional
2106:WessâZuminoâWitten
1896:Noncommutative QFT
1606:Higher dimensional
1601:N = 8 supergravity
1517:Nonrenormalization
1312:Super vector space
1307:Superstring theory
858:AGT correspondence
2432:
2431:
2294:
2293:
1828:
1827:
1471:WessâZumino gauge
878:Khovanov homology
830:action functional
814:
813:
545:van Nieuwenhuizen
2462:
2424:
2423:
2341:Quantum dynamics
2014:YangâMillsâHiggs
1969:Non-linear sigma
1959:EulerâHeisenberg
1944:
1943:
1855:
1848:
1841:
1832:
1831:
1611:11D supergravity
1340:Lie superalgebra
1327:Supermathematics
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1252:
1243:
1242:
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1221:Quantum Topology
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882:Mikhail Khovanov
866:pure mathematics
806:
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208:Related concepts
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18:
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2363:Quantum gravity
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2249:Particle theory
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2172:
2146:
2110:
2074:
2028:Low dimensional
2023:
1964:GinzburgâLandau
1935:
1926:Topological QFT
1864:
1859:
1829:
1824:
1718:
1635:
1577:
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1507:ColemanâMandula
1495:
1456:Seiberg duality
1451:Konishi anomaly
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880:. Developed by
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224:Quantum gravity
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183:Mirror symmetry
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2306:Casimir effect
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2281:Standard Model
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2132:SeibergâWitten
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2115:Supersymmetric
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1280:General topics
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1150:(3): 359â426.
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1009:(2): 167â197.
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846:Davide Gaiotto
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193:Vertex algebra
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2:
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2455:String theory
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2402:Quantum logic
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2336:Quantum chaos
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2311:Cosmic string
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2185:
2184:Pure 4D N = 1
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2040:BulloughâDodd
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2035:2D YangâMills
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1911:String theory
1909:
1907:
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1902:
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1897:
1894:
1892:
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1887:
1884:
1882:
1881:Axiomatic QFT
1879:
1877:
1876:Algebraic QFT
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2240:ChernâSimons
2177:Supergravity
2157:
1916:Supergravity
1901:Gauge theory
1583:Supergravity
1567:
1476:Localization
1466:Witten index
1441:Moduli space
1335:Superalgebra
1302:Supergravity
1227:(1): 1â137.
1224:
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1157:math/9908171
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836:Applications
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815:
285:Arkani-Hamed
244:
234:Supergravity
2228:Topological
2142:WessâZumino
2055:Sine-Gordon
2045:GrossâNeveu
1954:BornâInfeld
1921:Thermal QFT
1723:Researchers
1709:Stop squark
1674:Graviscalar
1669:Graviphoton
1533:WessâZumino
1396:Supercharge
1109:: 239â403.
969:Witten 2012
960:Witten 2009
886:knot theory
645:Silverstein
170:Mathematics
82:Superstring
2439:Categories
2009:YangâMills
1770:Iliopoulos
1714:Superghost
1704:Sgoldstino
1689:Neutralino
1481:Mu problem
1401:R-symmetry
1365:Superspace
1360:Supergroup
995:References
933:Moore 2012
890:Greg Moore
665:Strominger
660:Steinhardt
655:Staudacher
570:Polchinski
520:Nanopoulos
480:Mandelstam
460:Kontsevich
300:Berenstein
257:Multiverse
2418:See also:
2137:Super QCD
2091:Liouville
2079:Conformal
2050:Schwinger
1740:Batchelor
1664:Goldstino
1553:Super QCD
1431:FI D-term
1416:BPS state
1207:0905.2720
1191:14 August
1174:119585149
1135:115176676
1116:0907.3987
1063:1108.4389
1016:0906.3219
705:Veneziano
580:Rajaraman
475:Maldacena
365:Gopakumar
315:Dijkgraaf
310:Curtright
274:Theorists
162:Landscape
157:Cosmology
121:U-duality
116:T-duality
111:S-duality
94:Heterotic
2214:Type IIB
2209:Type IIA
2194:4D N = 8
2189:4D N = 1
2158:6D (2,0)
2122:4D N = 1
2101:Polyakov
2060:Thirring
1869:Theories
1775:Montonen
1699:Sfermion
1694:R-hadron
1679:Higgsino
1654:Chargino
1543:4D N = 1
1500:Theorems
1389:Concepts
1088:10882599
1041:15459761
904:See also
778:Glossary
760:Zwiebach
715:Verlinde
710:Verlinde
685:Townsend
680:'t Hooft
675:Susskind
610:Sagnotti
575:Polyakov
530:Nekrasov
495:Minwalla
490:Martinec
455:Knizhnik
450:Klebanov
445:Kapustin
415:Horowitz
345:Fischler
280:AganagiÄ
198:K-theory
131:F-theory
126:M-theory
2316:History
2299:Related
2096:Minimal
1947:Regular
1790:Seiberg
1765:Golfand
1745:Berezin
1730:Affleck
1659:Gaugino
1068:Bibcode
1021:Bibcode
854:duality
850:surface
773:History
690:Trivedi
670:Sundrum
635:Shenker
625:Seiberg
620:Schwarz
590:Randall
550:Novikov
540:Nielsen
525:NÄstase
435:Kallosh
420:Gibbons
360:Gliozzi
350:Friedan
340:Ferrara
325:Douglas
320:Distler
90:Type II
77:Bosonic
61:D-brane
2256:Chiral
2204:Type I
2019:Yukawa
1940:Models
1820:Zumino
1815:Witten
1805:Rogers
1795:Siegel
1735:Bagger
1436:F-term
1426:D-term
1172:
1133:
1086:
1039:
892:, and
870:Witten
755:Zumino
750:Zaslow
735:Yoneya
725:Witten
640:Siegel
615:Scherk
585:Ramond
560:Ooguri
485:Marolf
440:Kaluza
425:Kachru
410:HoĆava
405:Harvey
400:Hanson
385:Gubser
375:Greene
305:Bousso
290:Atiyah
86:Type I
46:String
2395:links
2368:links
2356:links
2276:NMSSM
2261:Fermi
2004:Soler
1974:Proca
1800:RoÄek
1785:Salam
1780:Olive
1760:Gates
1755:Fayet
1649:Axino
1563:NMSSM
1202:arXiv
1186:(PDF)
1170:S2CID
1152:arXiv
1131:S2CID
1111:arXiv
1084:S2CID
1058:arXiv
1037:S2CID
1011:arXiv
921:Notes
820:is a
695:Turok
600:RoÄek
565:Ovrut
555:Olive
535:Neveu
515:Myers
510:Mukhi
500:Moore
470:Linde
465:Klein
390:Gukov
380:Gross
370:Green
355:Gates
335:Dvali
295:Banks
56:Brane
2266:MSSM
2163:ABJM
2070:Toda
1810:Wess
1750:Dine
1558:MSSM
1193:2013
720:Wess
700:Vafa
605:Rohm
505:Motl
430:Kaku
395:Guth
330:Duff
2219:11D
1684:LSP
1229:doi
1162:doi
1148:101
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1107:234
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630:Sen
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84:(
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