Summing up non-anticommutative Kähler 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-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.

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	https://doi.org/10.1016/j.physletb.2005.06.014
Publication status	Published - 21 Jul 2005

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2005.06.014

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title = "Summing up non-anticommutative K{\"a}hler 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-anticommutative (NAC) deformation of a generic four-dimensional N=1 supersymmetric non-linear sigma-model (NLSM) described by arbitrary K{\"a}hler 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 K{\"a}hler NLSM with an arbitrary scalar superpotential is calculated as an example.",

author = "Tomoya Hatanaka and Ketov, {Sergei V.} and Shin Sasaki",

year = "2005",

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doi = "10.1016/j.physletb.2005.06.014",

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T1 - Summing up non-anticommutative Kähler potential

AU - Hatanaka, Tomoya

AU - Ketov, Sergei V.

AU - Sasaki, Shin

PY - 2005/7/21

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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.

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

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