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

@article{AlvarezGaum2005OnNN, title={On nonanticommutative N = 2 sigma-models in two dimensions}, author={Lu{\'i}s Alvarez-Gaum{\'e} and Miguel Angel Vazquez-Mozo}, journal={Journal of High Energy Physics}, year={2005}, volume={2005}, pages={007} }

We study nonanticommutative deformations of N = 2 two-dimensional eu- clidean sigma models. We flnd 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 fleld. In the case of nonanticommutative deformations preserving euclidean invariance, we flnd that a continuation of the deformed…

## 28 Citations

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