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arXiv · hep-th/0204170

The Star Product on the Fuzzy Supersphere

A. P. Balachandran·S. Kurkcuoglu·E. Rojas
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Abstract

The fuzzy supersphere $S_F^{(2,2)}$ is a finite-dimensional matrix approximation to the supersphere $S^{(2,2)}$ incorporating supersymmetry exactly. Here the star-product of functions on $S_F^{(2,2)}$ is obtained by utilizing the OSp(2,1) coherent states. We check its graded commutative limit to $S^{(2,2)}$ and extend it to fuzzy versions of sections of bundles using the methods of [1]. A brief discussion of the geometric structure of our star-product completes our work.

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A. P. Balachandran, S. Kurkcuoglu, E. Rojas. 2002-05-16. The Star Product on the Fuzzy Supersphere. https://doi.org/10.1088/1126-6708%2F2002%2F07%2F056

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