English

Large N reduction on group manifolds

High Energy Physics - Theory 2010-08-02 v3

Abstract

We show that the large N reduction holds on group manifolds. Large N field theories defined on group manifolds are equivalent to some corresponding matrix models. For instance, gauge theories on S^3 can be regularized in a gauge invariant and SO(4) invariant manner.

Keywords

Cite

@article{arxiv.0912.1456,
  title  = {Large N reduction on group manifolds},
  author = {Hikaru Kawai and Shinji Shimasaki and Asato Tsuchiya},
  journal= {arXiv preprint arXiv:0912.1456},
  year   = {2010}
}

Comments

21 pages, 4 figures, typos corrected, a reference added

R2 v1 2026-06-21T14:21:00.150Z