English

3d TQFT from 6d SCFT

High Energy Physics - Theory 2015-06-15 v3

Abstract

We study the six-dimensional (2,0) superconformal field theory on S^1 x S^2 x M via compactification to five dimensions, where M is a three-manifold. Twisted along M, the five-dimensional theory has a half of N = (2,2) supersymmetry on S^2, the other half being broken by a superpotential. We show that in the limit where M is infinitely large, the twisted theory reduces to a three-dimensional topological quantum field theory which is closely related to Chern-Simons theory for the complexified gauge group.

Keywords

Cite

@article{arxiv.1305.0291,
  title  = {3d TQFT from 6d SCFT},
  author = {Junya Yagi},
  journal= {arXiv preprint arXiv:1305.0291},
  year   = {2015}
}

Comments

25 pages. v2: minor changes, typos corrected. v3. typos corrected, published version

R2 v1 2026-06-22T00:09:50.460Z