Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres

Details Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres

2005-06-08

arxiv.org/abs/hep-th/0506062v2

JHEP 0509 (2005) 046

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 15 figures, (v2) some typos corrected

Scientific paper

10.1088/1126-6708/2005/09/046

We study a 4d supersymmetric matrix model with a cubic term, which incorporates fuzzy spheres as classical solutions, using Monte Carlo simulations and perturbative calculations. The fuzzy sphere in the supersymmetric model turns out to be always stable if the large-N limit is taken in such a way that various correlation functions scale. This is in striking contrast to analogous bosonic models, where the fuzzy sphere decays into the pure Yang-Mills vacuum due to quantum effects when the coefficient of the cubic term becomes smaller than a critical value. We also find that the power-law tail of the eigenvalue distribution, which exists in the supersymmetric model without the cubic term, disappears in the presence of the fuzzy sphere in the large-N limit. Coincident fuzzy spheres turn out to be unstable, which implies that the dynamically generated gauge group is U(1).

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