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Fuzzy Torus in Matrix Model

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arxiv hep-th/0412303 v1 pith:RYCWQZ4V submitted 2004-12-27 hep-th

classification hep-th
keywords fuzzyenergyfreegaugegroupmatrixmodelcalculated
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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.

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  1. Quantization of Algebraic Varieties Defined by Casimir Polynomials via Matrix Regularization: Fuzzy $S^7$ and Beyond

    hep-th 2026-08 conditional novelty 6.0 of 10

    A weak matrix regularization of any single-Casimir level set of a compact semisimple Lie algebra is built from reducible representations whose coadjoint orbits densely fill the variety, with fuzzy S^7 worked out explicitly.

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