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 | |
| Publication status | Published - 21 Jul 2005 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Cite this
Hatanaka, T., Ketov, S. V., & Sasaki, S. (2005). Summing up non-anticommutative Kähler potential. 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