4d partition function on S^1 x S^3 and 2d Yang-Mills with nonzero area

Abstract

We argue that 6d N=(2,0) theory on S^1 x S^3 x C_2 reduces to the 2d q-deformed Yang-Mills on C_2 at finite area, as a small extension to the result of Gadde, Rastelli, Razamat and Yan. This is done by computing the partition function on S^1 x S^3 of 4d N=2 supersymmetric non-linear sigma model on T^*G_C, which gives the propagator of the 2d Yang-Mills.

10 pages. v2: additional references

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• A slow review of the AGT correspondence
• q-deformations of two-dimensional Yang-Mills theory: Classification, categorification and refinement
• On the N=2 superconformal index and eigenfunctions of the elliptic RS model
• 5D SYM on 3D Deformed Spheres
• Refined Chern-Simons theory and (q,t)-deformed Yang-Mills theory: Semi-classical expansion and planar limit
• Five-dimensional cohomological localization and squashed $q$-deformations of two-dimensional Yang-Mills theory
• Partition Functions for Maxwell Theory on the Five-torus and for the Fivebrane on S1XT5
• Topological Field Theory Amplitudes for $A_{N-1}$ Fibration