On nonanticommutative N=2 sigma-models in two dimensions

Details On nonanticommutative N=2 sigma-models in two dimensions On nonanticommutative N=2 sigma-models in two dimensions

2005-03-02

arxiv.org/abs/hep-th/0503016v2

JHEP 0504 (2005) 007

Physics

High Energy Physics

High Energy Physics - Theory

29 pages. Typos corrected and references added

Scientific paper

10.1088/1126-6708/2005/04/007

We study nonanticommutative deformations of N=2 two-dimensional Euclidean sigma models. We find that these theories are described by simple deformations of Zumino's Lagrangian and the holomorphic superpotential. Geometrically, this deformation can be interpreted as a fuzziness in target space controlled by the vacuum expectation value of the auxiliary field. In the case of nonanticommutative deformations preserving Euclidean invariance, we find that a continuation of the deformed supersymmetry algebra to Lorentzian signature leads to a rather intriguing central extension of the ordinary (2,2) superalgebra.

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