A fuzzy supersymmetric non-linear sigma model


Kurkcuoglu S.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.19, no.31, pp.5359-5366, 2004 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 31
  • Publication Date: 2004
  • Doi Number: 10.1142/s0217751x04022591
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.5359-5366

Abstract

We present the ideas leading to the construction of non-linear sigma model on the fuzzy supersphere S-F((2,2)). In a recent article(1) Bott projectors have been used to obtain the fuzzy CP1 model. Here we obtain the supersymmetric extensions of these projectors and their fuzzy versions. The latter are then used W construct the non-linear sigma model on S-F((2,2)). We discuss the interpretation of the resulting model as a finite-dimensional matrix model.