New class of quantum deformations of D=4 Euclidean supersymmetry

TL;DR

This paper introduces a new class of quantum deformations of four-dimensional Euclidean supersymmetry, utilizing supertwists to produce explicit formulas for twisted Hopf superalgebras and their covariant deformations of superspace.

Contribution

It presents novel explicit formulas for deformations of D=4 Euclidean superalgebra using supertwists, advancing the understanding of noncommutative supersymmetric geometries.

Findings

Derived new explicit supertwist formulas for Euclidean superalgebras

Described quantum covariant deformation of chiral Euclidean superspace

Connected algebraic deformations with noncommutative space-time structures

Abstract

We present the class of deformations of simple Euclidean superalgebra, which describe the supersymmetrization of some Lie algebraic noncommutativity of D=4 Euclidean space-time. The presented deformations are generated by the supertwists. We provide new explicit formulae for a chosen twisted D=4 Euclidean Hopf superalgebra and describe the corresponding quantum covariant deformation of chiral Euclidean superspace.