4d partition function on S1 x S3 and 2d Yang-Mills with nonzero area

Abstract

We argue that 6d N=(2,0) theory on S1 x S3 x C2 reduces to the 2d q-deformed Yang-Mills on C2 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 S1 x S3 of 4d N=2 supersymmetric non-linear sigma model on T*GC, which gives the propagator of the 2d Yang-Mills.

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