Notes on Curtright-Zachos Deformations of osp(1,2) and Super Virasoro Algebras

Abstract

Based on the quantum superspace construction of $q$-deformed algebra, we discuss a supersymmetric extension of the deformed Virasoro algebra, which is a subset of the $q$-$W_{\infty }$ algebra recently appeared in the context of two-dimensional string theory. We analyze two types of deformed super-Virasoro algebra as well as their $osp(1,2)$ subalgebras. Applying our quantum superspace structure to conformal field theory, we find the same type of deformation of affine $sl(2)$ algebra.

22+1 pages. Latex file

References in corpus (8)

• Fermionic Matrix Models
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• Q-Deformed Oscillator Algebra and an Index Theorem for the Photon Phase Operator
• The Master Field for Large $N$ Matrix Models and Quantum Groups
• Discretization of Virasoro Algebra
• q-deformed superconformal algebra on quantum superspace
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Cited by in corpus (2)

• Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models
• Moyal product and Generalized Hom-Lie-Virasoro symmetries in Bloch electron systems