Summing up non-anticommutative Kähler potential

Tomoya Hatanaka, Sergei V. Ketov, Shin Sasaki

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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 languageEnglish
Pages (from-to)352-358
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3-4
Publication statusPublished - 21 Jul 2005

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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