Matrix Models in Homogeneous Spaces
High Energy Physics - Theory
2011-07-18 v3
Abstract
We investigate non-commutative gauge theories in homogeneous spaces G/H. We construct such theories by adding cubic terms to IIB matrix model which contain the structure constants of G. The isometry of a homogeneous space, G must be a subgroup of SO(10) in our construction. We investigate CP^2=SU(3)/U(2) case in detail which gives rise to 4 dimensional non-commutative gauge theory. We show that non-commutative gauge theory on R^4 can be realized in the large N limit by letting the action approach IIB matrix model in a definite way. We discuss possible relevances of these theories to the large N limit of IIB matrix model.
Cite
@article{arxiv.hep-th/0207115,
title = {Matrix Models in Homogeneous Spaces},
author = {Y. Kitazawa},
journal= {arXiv preprint arXiv:hep-th/0207115},
year = {2011}
}
Comments
21 pages, sign errors in one loop effective action are corrected