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.Alday, Gaiotto, and Tachikawa 2010 It was soon extended to a more general relationship between AN-1 Toda field theory and SU(N) gauge theories.Wyllard 2009 The idea of the AGT correspondence has also been extended to describe relationships between three-dimensional theories.Dimofte, Gaiotto, Gukov 2010
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