Matrix models in homogeneous spaces
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Publication:699208
DOI10.1016/S0550-3213(02)00682-XzbMATH Open0998.81052arXivhep-th/0207115MaRDI QIDQ699208
Author name not available (Why is that?)
Publication date: 6 October 2002
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/hep-th/0207115
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