English

5D SYM and 2D q-Deformed YM

High Energy Physics - Theory 2015-06-11 v3

Abstract

We study the AGT-like conjectured relation of a four-dimensional gauge theory on the direct product of a three-sphere and a circle to two-dimensional q-deformed Yang-Mills theory on a Riemann surface by using a five-dimensional N=2 supersymmetric Yang-Mills theory on the direct product of the three-sphere and the Riemann surface, following the conjectured relation of the six-dimensional N=(2,0) theory on the circle to the five-dimensional Yang-Mills theory. Our results are in perfect agreement with both of the conjectures.

Keywords

Cite

@article{arxiv.1210.2855,
  title  = {5D SYM and 2D q-Deformed YM},
  author = {Yasutaka Fukuda and Teruhiko Kawano and Nariaki Matsumiya},
  journal= {arXiv preprint arXiv:1210.2855},
  year   = {2015}
}

Comments

32 pages; v2: one reference added and minor corrections; v3: minor corrections

R2 v1 2026-06-21T22:19:13.439Z