Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models

In the spirit of the quantum Hamiltonian reduction we establish a relation between the chiral $n$-point functions, as well as the equations governing them, of the $A_1~{(1)}$ WZNW conformal theory and the corresponding Virasoro minimal models. The WZNW correlators are described as solutions of the K...

Descripción completa

Detalles Bibliográficos
Autores principales: Furlan, P., Ganchev, A.C., Paunov, R., Petkova, V.B.
Lenguaje:eng
Publicado: 1993
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(93)90227-G
http://cds.cern.ch/record/231445
_version_ 1780884100115070976
author Furlan, P.
Ganchev, A.C.
Paunov, R.
Petkova, V.B.
author_facet Furlan, P.
Ganchev, A.C.
Paunov, R.
Petkova, V.B.
author_sort Furlan, P.
collection CERN
description In the spirit of the quantum Hamiltonian reduction we establish a relation between the chiral $n$-point functions, as well as the equations governing them, of the $A_1~{(1)}$ WZNW conformal theory and the corresponding Virasoro minimal models. The WZNW correlators are described as solutions of the Knizhnik - Zamolodchikov equations with rational levels and isospins. The technical tool exploited are certain relations in twisted cohomology. The results extend to arbitrary level $k+2 \neq 0$ and isospin values of the type $J=j-j'(k+2)$, $ \ 2j, 2j' \in Z\!\!\!Z_+$.
id cern-231445
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
record_format invenio
spelling cern-2314452020-07-23T02:44:53Zdoi:10.1016/0550-3213(93)90227-Ghttp://cds.cern.ch/record/231445engFurlan, P.Ganchev, A.C.Paunov, R.Petkova, V.B.Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal modelsGeneral Theoretical PhysicsIn the spirit of the quantum Hamiltonian reduction we establish a relation between the chiral $n$-point functions, as well as the equations governing them, of the $A_1~{(1)}$ WZNW conformal theory and the corresponding Virasoro minimal models. The WZNW correlators are described as solutions of the Knizhnik - Zamolodchikov equations with rational levels and isospins. The technical tool exploited are certain relations in twisted cohomology. The results extend to arbitrary level $k+2 \neq 0$ and isospin values of the type $J=j-j'(k+2)$, $ \ 2j, 2j' \in Z\!\!\!Z_+$.In the spirit of the quantum hamiltonian reduction we establish a relation between the chiral n -point functions, as well as the equations governing them, of the A 1 (1) WZNW conformal theory and the corresponding Virasoro minimal models. The WZNW correlators are described as solutions of the Knizhnik-Zamolodchikov equations with rational levels and isospins. The technical tool exploited are certain relations in twisted cohomology. The results extend to arbitrary level k + 2 ≠ 0 and isospin values of the type J = j − j′ (k + 2), 2j, 2j′ ϵ Z + .hep-th/9201080CERN-TH-6289-91SISSA-120-91-FMCERN-TH-6289-91SISSA-91-120-FMoai:cds.cern.ch:2314451993
spellingShingle General Theoretical Physics
Furlan, P.
Ganchev, A.C.
Paunov, R.
Petkova, V.B.
Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models
title Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models
title_full Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models
title_fullStr Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models
title_full_unstemmed Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models
title_short Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models
title_sort solutions of the knizhnik-zamolodchikov equation with rational isospins and the reduction to the minimal models
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0550-3213(93)90227-G
http://cds.cern.ch/record/231445
work_keys_str_mv AT furlanp solutionsoftheknizhnikzamolodchikovequationwithrationalisospinsandthereductiontotheminimalmodels
AT ganchevac solutionsoftheknizhnikzamolodchikovequationwithrationalisospinsandthereductiontotheminimalmodels
AT paunovr solutionsoftheknizhnikzamolodchikovequationwithrationalisospinsandthereductiontotheminimalmodels
AT petkovavb solutionsoftheknizhnikzamolodchikovequationwithrationalisospinsandthereductiontotheminimalmodels

Ejemplares similares