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arXiv · hep-th/0312241

Stability of fuzzy $S^2 \times S^2$ geometry in IIB matrix model

Takaaki Imai·Yastoshi Takayama
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Abstract

We continue our study of the IIB matrix model on fuzzy $S^2 \times S^2$. Especially in this paper we focus on the case where the size of one of $S^2\times S^2$ is different from the other. By the power counting and SUSY cancellation arguments, we can identify the 't Hooft coupling and large $N$ scaling behavior of the effective action to all orders. We conclude that the most symmetric $S^2 \times S^2$ configuration where the both $S^2$s are of the same size is favored at the two loop level. In addition we develop a new approach to evaluate the amplitudes on fuzzy $S^2 \times S^2$.

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Takaaki Imai, Yastoshi Takayama. 2004-05-23. Stability of fuzzy $S^2 \times S^2$ geometry in IIB matrix model. https://doi.org/10.1016/j.nuclphysb.2004.03.008

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