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.

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