paper

Non-Anticommutative Deformations of N=(1,1) Supersymmetric Theories

arXiv:hep-th/0405185 · doi:10.1007/s11232-005-0004-2

Abstract

We discuss chirality-preserving nilpotent deformations of four-dimensional N=(1,1) Euclidean harmonic superspace and their implications in N=(1,1) supersymmetric gauge and hypermultiplet theories, basically following [hep-th/0308012] and [hep-th/0405049]. For the SO(4) x SU(2) invariant deformation, we present non-anticommutative Euclidean analogs of the N=2 gauge multiplet and hypermultiplet off-shell actions. As a new result, we consider a specific non-anticommutative hypermultiplet model with N=(1,0) supersymmetry. It involves free scalar fields and interacting right-handed spinor fields.

Latex file, 15 pages, Submitted to Proceedings of the Seminar ``Classical and Quantum Integrable Systems'' (Dubna, Russia, January 26-29, 2004), v.2 with minor corrections

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