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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22+1 pages. Latex file

Scientific paper

10.1142/S0217751X97003078

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.

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