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arXiv · hep-th/0307007

Effective Actions of Matrix Models on Homogeneous Spaces

T. Imai·Y. Kitazawa·Y. Takayama·D. Tomino
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Abstract

We evaluate the effective actions of supersymmetric matrix models on fuzzy S^2\times S^2 up to the two loop level. Remarkably it turns out to be a consistent solution of IIB matrix model. Based on the power counting and SUSY cancellation arguments, we can identify the 't Hooft coupling and large N scaling behavior of the effective actions to all orders. In the large N limit, the quantum corrections survive except in 2 dimensional limits. They are O(N) and O(N^{4\over 3}) for 4 and 6 dimensional spaces respectively. We argue that quantum effects single out 4 dimensionality among fuzzy homogeneous spaces.

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T. Imai, Y. Kitazawa, Y. Takayama, D. Tomino. 2003-12-16. Effective Actions of Matrix Models on Homogeneous Spaces. https://doi.org/10.1016/j.nuclphysb.2003.11.038

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