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

TL;DR

This paper explores specific non-anticommutative deformations of four-dimensional N=(1,1) supersymmetric theories, presenting new models and their implications for gauge and hypermultiplet actions in Euclidean space.

Contribution

It introduces a novel non-anticommutative hypermultiplet model with N=(1,0) supersymmetry, expanding the understanding of deformations in supersymmetric theories.

Findings

Constructed non-anticommutative Euclidean analogs of N=2 gauge and hypermultiplet actions.

Presented a new hypermultiplet model with free scalars and interacting right-handed spinors.

Analyzed implications of SO(4) x SU(2) invariant deformations in supersymmetric theories.

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.