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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

Fuzzy Torus in Matrix Model

classification hep-th
keywords fuzzyenergyfreegaugegroupmatrixmodelcalculated
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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