The Star Product on the Fuzzy Supersphere

Details The Star Product on the Fuzzy Supersphere The Star Product on the Fuzzy Supersphere

2002-04-19

arxiv.org/abs/hep-th/0204170v2

JHEP 0207 (2002) 056

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX, new material added, minor errors corrected

Scientific paper

10.1088/1126-6708/2002/07/056

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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