Stability of fuzzy S2×S2 geometry in IIB matrix model Original Research Article

We continue our study of the IIB matrix model on fuzzy S2×S2. Especially in this paper we focus on the case where the size of one of S2×S2 is different from the other. By the power counting and SUSY cancellation arguments, we can identify the ʹt Hooft coupling and large N scaling behavior of the effective action to all orders. We conclude that the most symmetric S2×S2 configuration where the both S2s 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 S2×S2.