Non-Linear Sigma Model on the Fuzzy Supersphere

Details Non-Linear Sigma Model on the Fuzzy Supersphere Non-Linear Sigma Model on the Fuzzy Supersphere

2003-11-05

arxiv.org/abs/hep-th/0311031v3

JHEP 0403 (2004) 062

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, corrected typos

Scientific paper

10.1088/1126-6708/2004/03/062

In this note we develop fuzzy versions of the supersymmetric non-linear sigma model on the supersphere S^(2,2). In hep-th/0212133 Bott projectors have been used to obtain the fuzzy CP^1 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 hep-th/0212133. We discuss the interpretation of the resulting model as a finite dimensional matrix model.

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