The Star Product on the Fuzzy Supersphere

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Published 25 August 2002 Published under licence by IOP Publishing Ltd
, , Citation Aiyalam P. Balachandran et al JHEP07(2002)056 DOI 10.1088/1126-6708/2002/07/056

1126-6708/2002/07/056

Abstract

The fuzzy supersphere SF(2,2) is a finite-dimensional matrix approximation to the supersphere S(2,2) incorporating supersymmetry exactly. Here the ⋆-product of functions on SF(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 O'Connor and Presnajder. A brief discussion of the geometric structure of our ⋆-product completes our work.

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10.1088/1126-6708/2002/07/056