Nonlinear sigma models on the fuzzy supersphere
Nov, 200311 pages
Published in:
- JHEP 03 (2004) 062
e-Print:
- hep-th/0311031 [hep-th]
Report number:
- SU-4252-788
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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.- sigma model: nonlinear
- field theoretical model: CP(1)
- differential geometry: noncommutative
- space: sphere
- space: fuzzy
- dimension: 2
- supersymmetry
- matrix model
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