### 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 |
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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 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### 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

**Summing up non-anticommutative Kähler potential.** / Hatanaka, Tomoya; Ketov, Sergei V.; Sasaki, Shin.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 619, no. 3-4, pp. 352-358. https://doi.org/10.1016/j.physletb.2005.06.014

}

TY - JOUR

T1 - Summing up non-anticommutative Kähler potential

AU - Hatanaka, Tomoya

AU - Ketov, Sergei V.

AU - Sasaki, Shin

PY - 2005/7/21

Y1 - 2005/7/21

N2 - 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 CP1 Kähler NLSM with an arbitrary scalar superpotential is calculated as an example.

AB - 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 CP1 Kähler NLSM with an arbitrary scalar superpotential is calculated as an example.

UR - http://www.scopus.com/inward/record.url?scp=21544452806&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21544452806&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2005.06.014

DO - 10.1016/j.physletb.2005.06.014

M3 - Article

VL - 619

SP - 352

EP - 358

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

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

SN - 0370-2693

IS - 3-4

ER -