Stability of Fuzzy S^2 x S^2 x S^2 in IIB Type Matrix Models
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.
Cite
@article{arxiv.hep-th/0506033,
title = {Stability of Fuzzy S^2 x S^2 x S^2 in IIB Type Matrix Models},
author = {H. Kaneko and Y. Kitazawa and D. Tomino},
journal= {arXiv preprint arXiv:hep-th/0506033},
year = {2010}
}
Comments
24 pages, 7 figures, references added, typos corrected