English

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

High Energy Physics - Theory 2016-06-21 v2

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.

Keywords

Cite

@article{arxiv.1207.3497,
  title  = {4d partition function on S^1 x S^3 and 2d Yang-Mills with nonzero area},
  author = {Yuji Tachikawa},
  journal= {arXiv preprint arXiv:1207.3497},
  year   = {2016}
}

Comments

10 pages. v2: additional references

R2 v1 2026-06-21T21:35:48.281Z