Matrix Models in Homogeneous Spaces

Details Matrix Models in Homogeneous Spaces Matrix Models in Homogeneous Spaces

2002-07-12

arxiv.org/abs/hep-th/0207115v3

Nucl.Phys.B642:210-226,2002

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, sign errors in one loop effective action are corrected

Scientific paper

10.1016/S0550-3213(02)00682-X

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.

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