English

Large N reduction for Chern-Simons theory on S^3

High Energy Physics - Theory 2009-10-29 v2

Abstract

We study a matrix model which is obtained by dimensional reduction of Chern-Simon theory on S^3 to zero dimension. We find that expanded around a particular background consisting of multiple fuzzy spheres, it reproduces the original theory on S^3 in the planar limit. This is viewed as a new type of the large N reduction generalized to curved space.

Keywords

Cite

@article{arxiv.0908.1711,
  title  = {Large N reduction for Chern-Simons theory on S^3},
  author = {Goro Ishiki and Shinji Shimasaki and Asato Tsuchiya},
  journal= {arXiv preprint arXiv:0908.1711},
  year   = {2009}
}

Comments

4 pages, 2 figures, references added, typos corrected

R2 v1 2026-06-21T13:34:49.193Z