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On nonanticommutative N=2 sigma-models in two dimensions

Luis Alvarez-Gaume·Miguel A. Vazquez-Mozo
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Abstract

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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Luis Alvarez-Gaume, Miguel A. Vazquez-Mozo. 2005-05-25. On nonanticommutative N=2 sigma-models in two dimensions. https://doi.org/10.1088/1126-6708%2F2005%2F04%2F007

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