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arXiv · hep-th/0207115

Matrix Models in Homogeneous Spaces

Y. Kitazawa
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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.

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Y. Kitazawa. 2002-09-26. Matrix Models in Homogeneous Spaces. https://doi.org/10.1016/s0550-3213(02)00682-x

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