AGT correspondence - Misplaced Pages

Correspondence between a conformal and superconformal theory

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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 Luis Alday, Davide Gaiotto, and Yuji Tachikawa in 2009. It was soon extended to a more general relationship between A_N-1 Toda field theory and SU(N) gauge theories. The idea of the AGT correspondence has also been extended to describe relationships between three-dimensional theories.

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. S2CID 15459761.
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. 2009 (11): 002. arXiv:0907.2189. Bibcode:2009JHEP...11..002W. doi:10.1088/1126-6708/2009/11/002. S2CID 10459077.
Dimofte, Tudor; Gaiotto, Davide; Gukov, Sergei (2010). "Gauge theories labelled by three-manifolds". Communications in Mathematical Physics. 325 (2): 367–419. arXiv:1108.4389. Bibcode:2014CMaPh.325..367D. doi:10.1007/s00220-013-1863-2. S2CID 10882599.

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