q-deformed superconformal algebra on quantum superspace

TL;DR

This paper explores a quantum deformation of 4D superconformal algebra on quantum superspace, deriving deformed algebras and a super-Poincaré algebra through contraction, advancing quantum symmetry understanding.

Contribution

It introduces a new quantum deformation framework for superconformal algebra on superspace, including derivation of deformed $su(1|2,2)$ and super-Poincaré algebras.

Findings

Derived deformed $su(1|2,2)$ algebra from $sl_q(1|4)$

Constructed a deformed super-Poincaré algebra via contraction

Analyzed differential calculus on quantum superspace

Abstract

A quantum deformation of 4-dimensional superconformal algebra realized on quantum superspace is investigated. We study the differential calculus and the action of the quantum generators corresponding to $sl_q(1|4)$ which act on the quantum superspace. We derive deformed $su(1|2,2)$ algebras from the deformed $sl(1|4)$ algebra. Through a contraction procedure we obtain a deformed super-Poincar{\'e} algebra.