Abstract
We investigate noncommutative 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 noncommutative gauge theory. We show that noncommutative 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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