Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
Abstract
We derive a noncommutative U(1) and U(n) gauge theory on the fuzzy sphere from a three dimensional matrix model by expanding the model around a classical solution of the fuzzy sphere. Chern-Simons term is added in the matrix model to make the fuzzy sphere as a classical solution of the model. Majorana mass term is also added to make it supersymmetric. We consider two large limits, one corresponding to a gauge theory on a commutative sphere and the other to that on a noncommutative plane. We also investigate stability of the fuzzy sphere by calculating one-loop effective action around classical solutions. In the final part of this paper, we consider another matrix model which gives a supersymmetric gauge theory on the fuzzy sphere. In this matrix model, only Chern-Simons term is added and supersymmetry transformation is modified.
Cite
@article{arxiv.hep-th/0101102,
title = {Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model},
author = {S. Iso and Y. Kimura and K. Tanaka and K. Wakatsuki},
journal= {arXiv preprint arXiv:hep-th/0101102},
year = {2009}
}
Comments
31 pages, more investigations of the theory in the commutative limit and references added