Summing up Non-anti-commutative Kaehler potential
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.
Cite
@article{arxiv.hep-th/0504191,
title = {Summing up Non-anti-commutative Kaehler potential},
author = {T. Hatanaka and S. V. Ketov and S. Sasaki},
journal= {arXiv preprint arXiv:hep-th/0504191},
year = {2010}
}
Comments
9 pages, LaTeX, no figures; section 5 and references added