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Stability of Fuzzy S^2 x S^2 x S^2 in IIB Type Matrix Models

H. Kaneko·Y. Kitazawa·D. Tomino
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Abstract

We study the stability of fuzzy S^2 x S^2 x S^2 backgrounds in three different IIB type matrix models with respect to the change of the spins of each S^2 at the two loop level. We find that S^2 x S^2 x S^2 background is metastable and the effective action favors a single large S^2 in comparison to the remaining S^2 x S^2 in the models with Myers term. On the other hand, we find that a large S^2 x S^2 in comparison to the remaining S^2 is favored in IIB matrix model itself. We further study the stability of fuzzy S^2 x S^2 background in detail in IIB matrix model with respect to the scale factors of each S^2 as well. In this case, we find unstable directions which lower the effective action away from the most symmetric fuzzy S^2 x S^2 background.

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H. Kaneko, Y. Kitazawa, D. Tomino. 2005-06-10. Stability of Fuzzy S^2 x S^2 x S^2 in IIB Type Matrix Models. https://doi.org/10.1016/j.nuclphysb.2005.07.009

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