Fuzzy Torus in Matrix Model

Abstract

We have calculated the free energy up to two loop to compare T^2 with T^4 in IIB matrix model. It turns out that T^2 has smaller free energy than T^4. We have also discussed the generation of the gauge group by considering k-coincident fuzzy tori and found that in this case U(1) gauge group is favored. This means that if the true vacuum is four-dimensional, it is not a simple fuzzy space considered here.

arXiv commentLatex file, 5 figures, 21 pages

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Cited by in corpus (13)

• A non-perturbative study of 4d U(1) non-commutative gauge theory -- the fate of one-loop instability
• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
• Perturbative versus nonperturbative dynamics of the fuzzy S^2*S^2
• Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres
• Dynamical aspects of the plane-wave matrix model at finite temperature
• Stability of Fuzzy S^2 x S^2 x S^2 in IIB Type Matrix Models
• On Matrix Model Formulations of Noncommutative Yang-Mills Theories
• The index of the overlap Dirac operator on a discretized 2d non-commutative torus
• Fuzzy Spacetime with SU(3) Isometry in IIB Matrix Model
• Probability distribution of the index in gauge theory on 2d non-commutative geometry
• One-loop stabilization of the fuzzy four-sphere via softly broken SUSY
• Category of Quantizations and Inverse Problem
• Fuzzy Torus and q-Deformed Lie Algebra