Gauge Theory on Noncommutative Supersphere from Supermatrix Model

Details Gauge Theory on Noncommutative Supersphere from Supermatrix Model Gauge Theory on Noncommutative Supersphere from Supermatrix Model

2003-11-02

arxiv.org/abs/hep-th/0311005v2

Phys.Rev. D69 (2004) 105003

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex, typos corrected, references added

Scientific paper

10.1103/PhysRevD.69.105003

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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