AGT correspondence

String theory

Fundamental objects
String Brane D-brane
Perturbative theory
Bosonic Superstring Type I Type II (IIA / IIB) Heterotic (SO(32) · E₈×E₈)
Non-perturbative results
S-duality T-duality M-theory AdS/CFT correspondence
Phenomenology
Phenomenology Cosmology Landscape
Mathematics
Mirror symmetry Monstrous moonshine
Related concepts Conformal field theory Holographic principle Kaluza–Klein theory Quantum gravity Supergravity Supersymmetry Theory of everything Twistor string theory
Theorists Arkani-Hamed Banks Dijkgraaf Duff Fischler Gates Gliozzi Green Greene Gross Gubser Harvey Hořava Kaku Klebanov Kontsevich Maldacena Mandelstam Martinec Minwalla Moore Motl Nekrasov Neveu Olive Polchinski Polyakov Randall Ramond Rohm Scherk Schwarz Seiberg Sen Shenker Sơn Strominger Sundrum Susskind 't Hooft Townsend Vafa Veneziano E. Verlinde H. Verlinde Witten Yau Zaslow
History Glossary

In theoretical physics, the AGT correspondence is a relationship between Liouville field theory on a punctured Riemann surface and a certain four-dimensional SU(2) gauge theory obtained by compactifying the 6D (2,0) superconformal field theory on the surface. The relationship was discovered by Alday, Gaiotto, and Tachikawa in 2009.^[1] It was soon extended to a more general relationship between A_N-1 Toda field theory and SU(N) gauge theories.^[2] The idea of the AGT correspondence has also been extended to describe relationships between three-dimensional theories.^[3]

Notes

↑ Alday, Gaiotto, and Tachikawa 2010
↑ Wyllard 2009
↑ Dimofte, Gaiotto, Gukov 2010

References

Alday, Luis; Gaiotto, Davide; Tachikawa, Yuji (2010). "Liouville correlation functions from four-dimensional gauge theories". Letters in Mathematical Physics. 91 (2): 167–197. arXiv:0906.3219. Bibcode:2010LMaPh..91..167A. doi:10.1007/s11005-010-0369-5.
Wyllard, Niclas (2009). "A(N-1) conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories". Journal of High Energy Physics. 11: 002. arXiv:0907.2189. Bibcode:2009JHEP...11..002W. doi:10.1088/1126-6708/2009/11/002.
Dimofte, Tudor; Gaiotto, Davide; Gukov, Sergei (2010). "Gauge theories labelled by three-manifolds". Communications in Mathematical Physics. 325 (2): 367–419. Bibcode:2014CMaPh.325..367D. doi:10.1007/s00220-013-1863-2.

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