Non-Linear Sigma Model on the Fuzzy Supersphere
High Energy Physics - Theory
2009-11-10 v3
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0311031,
title = {Non-Linear Sigma Model on the Fuzzy Supersphere},
author = {S. Kurkcuoglu},
journal= {arXiv preprint arXiv:hep-th/0311031},
year = {2009}
}
Comments
11 pages, LaTeX, corrected typos