Summing up Non-anti-commutative Kaehler potential

Details Summing up Non-anti-commutative Kaehler potential Summing up Non-anti-commutative Kaehler potential

2005-04-24

arxiv.org/abs/hep-th/0504191v3

Phys.Lett. B619 (2005) 352-358

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX, no figures; section 5 and references added

Scientific paper

10.1016/j.physletb.2005.06.014

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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