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{sub q}(2) are discussed. Moreover, deformation of the phase space without deforming the generators of sl(2) is considered. h -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. (author). 21 refs.
Citation Formats
Dayi, O F.
BFV-BRST analysis of the classical and quantum q-deformations of the sl(2) algebra.
IAEA: N. p.,
1993.
Web.
Dayi, O F.
BFV-BRST analysis of the classical and quantum q-deformations of the sl(2) algebra.
IAEA.
Dayi, O F.
1993.
"BFV-BRST analysis of the classical and quantum q-deformations of the sl(2) algebra."
IAEA.
@misc{etde_10144792,
title = {BFV-BRST analysis of the classical and quantum q-deformations of the sl(2) algebra}
author = {Dayi, O F}
abstractNote = {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{sub q}(2) are discussed. Moreover, deformation of the phase space without deforming the generators of sl(2) is considered. h -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. (author). 21 refs.}
place = {IAEA}
year = {1993}
month = {Jan}
}
title = {BFV-BRST analysis of the classical and quantum q-deformations of the sl(2) algebra}
author = {Dayi, O F}
abstractNote = {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{sub q}(2) are discussed. Moreover, deformation of the phase space without deforming the generators of sl(2) is considered. h -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. (author). 21 refs.}
place = {IAEA}
year = {1993}
month = {Jan}
}