Non-anticommutative N=(1,1) Euclidean Superspace

TL;DR

This paper explores deformations of four-dimensional N=(1,1) Euclidean superspace using non-anticommuting fermionic coordinates, extending previous chiral deformation studies with a harmonic superspace approach.

Contribution

It introduces non-anticommutative Euclidean analogs of N=2 Maxwell and hypermultiplet off-shell actions using nilpotent bi-differential Poisson operators.

Findings

Constructed Euclidean N=2 supersymmetric actions with non-anticommutative deformation.

Generalized chiral deformation to a broader class of superspaces.

Provided a framework for further studies of deformed supersymmetric theories.

Abstract

We study deformations of four-dimensional N=(1,1)Euclidean superspace induced by non-anticommuting fermionic coordinates. We essentially use the harmonic superspace approach and consider nilpotent bi-differential Poisson operators only, which generalizes the recently studied chiral deformation of N=(1/2,1/2) superspace. We present non-anticommutative Euclidean analogs of N=2 Maxwell and hypermultiplet off-shell actions. The talk is based on the paper hep-th/0308012.