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

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

1993-01-29

arxiv.org/abs/hep-th/9301126v1

J.Phys.A27:219-230,1994

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Plain Latex (latex twice), IC/93/5

Scientific paper

10.1088/0305-4470/27/1/016

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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