A fuzzy supersymmetric non-linear sigma model


Kurkcuoglu S.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, cilt.19, ss.5359-5366, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 19 Konu: 31
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1142/s0217751x04022591
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Sayfa Sayıları: ss.5359-5366

Özet

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.