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arXiv · hep-th/9301126

BFV--BRST Analysis of the Classical and Quantum q-deformations of the sl(2) Algebra

O. F. Dayi
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Abstract

BFV--BRST charge for q-deformed algebras is not unique. Different constructions of it in the classical as well as in the quantum phase space for the $q$-deformed algebra sl_q(2) are discussed. Moreover, deformation of the phase space without deforming the generators of sl(2) is considered. $\hbar$-q-deformation of the phase space is shown to yield the Witten's second deformation. To study the BFV--BRST cohomology problem when both the quantum phase space and the group are deformed, a two parameter deformation of sl(2) is proposed, and its BFV-BRST charge is given.

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O. F. Dayi. 1993-01-29. BFV--BRST Analysis of the Classical and Quantum q-deformations of the sl(2) Algebra. https://doi.org/10.1088/0305-4470%2F27%2F1%2F016

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