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arXiv · hep-th/0311005

Gauge Theory on Noncommutative Supersphere from Supermatrix Model

Satoshi Iso·Hiroshi Umetsu
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Abstract

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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Satoshi Iso, Hiroshi Umetsu. 2004-02-10. Gauge Theory on Noncommutative Supersphere from Supermatrix Model. https://doi.org/10.1103/physrevd.69.105003

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