Gauge Theory on Noncommutative Supersphere from Supermatrix Model
classification
✦ hep-th
keywords
gaugemodelnoncommutativetheoryclassicalsupermatrixsuperspherearound
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We construct a supermatrix model which has a classical solution representing the noncommutative (fuzzy) two-supersphere. Expanding supermatrices around the classical background, we obtain a gauge theory on a noncommutative superspace on sphere. This theory has $osp(1|2)$ supersymmetry and $u(2L+1|2L)$ gauge symmetry. We also discuss a commutative limit of the model keeping radius of the supersphere fixed.
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