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

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arxiv hep-th/9706176 v1 pith:RRLOUQD6 submitted 1997-06-25 hep-th

Naruhiko Aizawa , Tatsuo Kobayashi , Haru-Tada Sato This is my paper · ORCID
classification hep-th
keywords algebradeformedquantumsuperspacetheoryvirasoroaffinealgebras
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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.

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  1. Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators

    hep-th 2025-07 conditional novelty 4.0 of 10

    Gauge-invariant magnetic translation operators, built from a gauge-covariant pseudo-momentum P, reproduce Curtright-Zachos generators through a rotation-dilatation duality.

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