AGT relation in the light asymptotic limit

Abstract

It is known that the path integral of correlators in Liouville theory reduces to a finite dimensional integral in the limit of vanishing coupling b. We take the example of four-point functions on sphere and investigate how the simple integral expression is reproduced from the path integral of gauge theory on extremely squashed ellipsoids. The simplified form for correlators suggests there is a 2D gauge theory describing the limit.

1+11 pages, no figure (v2) references added

References in corpus (5)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
• 3d Chern-Simons Theory from M5-branes
• 3d TQFT from 6d SCFT
• Complex Chern-Simons from M5-branes on the Squashed Three-Sphere

Cited by in corpus (4)

• A slow review of the AGT correspondence
• On classical and semiclassical properties of the Liouville theory with defects
• On mini-superspace limit of boundary three-point function in Liouville field theory
• The light asymptotic limit of conformal blocks in Toda field theory