### 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-anticommutative (NAC) deformation of a generic four-dimensional N=1 supersymmetric non-linear sigma-model (NLSM) described by arbitrary Kähler 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} Kähler NLSM with an arbitrary scalar superpotential is calculated as an example.

Original language | English |
---|---|

Pages (from-to) | 352-358 |

Number of pages | 7 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 619 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 21 Jul 2005 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'Summing up non-anticommutative Kähler potential'. Together they form a unique fingerprint.

## Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*619*(3-4), 352-358. https://doi.org/10.1016/j.physletb.2005.06.014