Non-linear sigma model on the fuzzy supersphere

Published 7 April 2004 Published under licence by IOP Publishing Ltd
, , Citation Seçkin Kürkçüoglu JHEP03(2004)062 DOI 10.1088/1126-6708/2004/03/062

1126-6708/2004/03/062

Abstract

In this note we develop fuzzy versions of the supersymmetric non-linear sigma model on the supersphere S(2,2). In [1] Bott projectors have been used to obtain the fuzzy Bbb CP1 model. Our approach utilizes the use of supersymmetric extensions of these projectors. Here we obtain these (super)-projectors and quantize them in a fashion similar to the one given in [1]. We discuss the interpretation of the resulting model as a finite dimensional matrix model.

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10.1088/1126-6708/2004/03/062