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. It was soon extended to a more general relationship between AN-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.
- Alday, Gaiotto, and Tachikawa 2010
- Wyllard 2009
- Dimofte, Gaiotto, Gukov 2010
- Alday, Luis; Gaiotto, Davide; Tachikawa, Yuji (2010). "Liouville correlation functions from four-dimensional gauge theories". Letters in Mathematical Physics. 91 (2): 167–197. arXiv: . 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: . 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.