Quantum Deformed $su(m|n)$ Algebra and Superconformal Algebra on Quantum Superspace

Abstract

We study a deformed $su(m|n)$ algebra on a quantum superspace. Some interesting aspects of the deformed algebra are shown. As an application of the deformed algebra we construct a deformed superconformal algebra. {}From the deformed $su(1|4)$ algebra, we derive deformed Lorentz, translation of Minkowski space, $iso(2,2)$ and its supersymmetric algebras as closed subalgebras with consistent automorphisms.

27 pages, KUCP-59, LaTeX file

References in corpus (3)

• Differential Calculus on the Quantum Superspace and Deformation of Phase Space
• Classical Isomorphisms for Quantum Groups
• q-deformed superconformal algebra on quantum superspace

Cited by in corpus (4)

• Deformation of Super Virasoro Algebra in Noncommutative Quantum Superspace
• On the quantum super Virasoro algebra
• Covariant Differential Calculi on $S{P}_q^{1|2}$
• Moyal product and Generalized Hom-Lie-Virasoro symmetries in Bloch electron systems