AGT correspondence

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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.^[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

References

• Alday, Luis; Gaiotto, Davide; Tachikawa, Yuji (2010). "Liouville correlation functions from four-dimensional gauge theories". Letters in Mathematical Physics 91 (2): 167–197. doi:10.1007/s11005-010-0369-5. Bibcode: 2010LMaPh..91..167A. 
• 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. doi:10.1088/1126-6708/2009/11/002. Bibcode: 2009JHEP...11..002W. 
• Dimofte, Tudor; Gaiotto, Davide; Gukov, Sergei (2010). "Gauge theories labelled by three-manifolds". Communications in Mathematical Physics 325 (2): 367–419. doi:10.1007/s00220-013-1863-2. Bibcode: 2014CMaPh.325..367D. 

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