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arXiv · hep-th/0504191

Summing up Non-anti-commutative Kaehler potential

T. Hatanaka·S. V. Ketov·S. Sasaki
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Abstract

We offer a simple non-perturbative formula for the component action of a generic N=1/2 supersymmetric chiral model in terms of an arbitrary number of chiral superfields in four dimensions, which is obtained by the Non-Anti-Commutative (NAC) deformation of a generic four-dimensional N=1 supersymmetric non-linear sigma-model described by arbitrary Kaehler superpotential and scalar superpotential. The auxiliary integrations responsible for fuzziness are eliminated in the case of a single chiral superfield. The scalar potential in components is derived by eliminating the auxiliary fields. The NAC-deformation of the CP(1) Kaehler non-linear sigma-model with an arbitrary scalar superpotential is calculated as an example.

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T. Hatanaka, S. V. Ketov, S. Sasaki. 2005-06-09. Summing up Non-anti-commutative Kaehler potential. https://doi.org/10.1016/j.physletb.2005.06.014

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