Quantum $\kappa$-deformations of D=4 relativistic supersymmetries

TL;DR

This paper introduces a quantum deformation of the super-Poincaré algebra in four dimensions, incorporating a mass-like parameter, and presents its structure in a specific algebraic basis.

Contribution

It provides the first detailed construction of a quantum $ppa$-deformation of D=4 super-Poincare9 algebra, including the classical Lorentz superalgebra sector.

Findings

Explicit form of the quantum $ppa$-deformation in graded bicrossproduct basis

Inclusion of half of the supercharges in the classical Lorentz superalgebra sector

Foundation for further studies of quantum supersymmetries

Abstract

We describe the quantum $\kappa$-deformation of super-Poincar\'{e} algebra, with fundamental mass-like deformation parameter $\kappa$. We shall describe the result in graded bicrossproduct basis, with classical Lorentz superalgebra sector which includes half of the supercharges.