q-deformed superconformal algebra 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 $s{l}_q(1|4)$ 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{é} algebra.

11 pages, KUCP-56, LaTeX file

References in corpus (1)

• Differential Calculus on the Quantum Superspace and Deformation of Phase Space

Cited by in corpus (6)

• Quantum Deformed $su(m|n)$ Algebra and Superconformal Algebra on Quantum Superspace
• On the quantum super Virasoro algebra
• Covariant Differential Calculi on $S{P}_q^{1|2}$
• Notes on Curtright-Zachos Deformations of osp(1,2) and Super Virasoro Algebras
• Moyal product and Generalized Hom-Lie-Virasoro symmetries in Bloch electron systems
• q-Deformed Superalgebras