R-matrix formulation of KP hierarchies and their gauge equivalence

The Adler-Kostant-Symes $R$-bracket scheme is applied to the algebra of pseudo-differential operators to relate the three integrable hierarchies: KP and its two modifications, known as nonstandard integrable models. All three hierarchies are shown to be equivalent and connection is established in th...

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Detalles Bibliográficos
Autores principales: Aratyn, H., Nissimov, E., Pacheva, S., Vaisburd, I.
Lenguaje:eng
Publicado: 1992
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(92)90678-W
http://cds.cern.ch/record/240727
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author Aratyn, H.
Nissimov, E.
Pacheva, S.
Vaisburd, I.
author_facet Aratyn, H.
Nissimov, E.
Pacheva, S.
Vaisburd, I.
author_sort Aratyn, H.
collection CERN
description The Adler-Kostant-Symes $R$-bracket scheme is applied to the algebra of pseudo-differential operators to relate the three integrable hierarchies: KP and its two modifications, known as nonstandard integrable models. All three hierarchies are shown to be equivalent and connection is established in the form of a symplectic gauge transformation. This construction results in a new representation of the W-infinity algebras in terms of 4 bosonic fields.
id cern-240727
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1992
record_format invenio
spelling cern-2407272023-03-14T20:45:21Zdoi:10.1016/0370-2693(92)90678-Whttp://cds.cern.ch/record/240727engAratyn, H.Nissimov, E.Pacheva, S.Vaisburd, I.R-matrix formulation of KP hierarchies and their gauge equivalenceParticle Physics - TheoryThe Adler-Kostant-Symes $R$-bracket scheme is applied to the algebra of pseudo-differential operators to relate the three integrable hierarchies: KP and its two modifications, known as nonstandard integrable models. All three hierarchies are shown to be equivalent and connection is established in the form of a symplectic gauge transformation. This construction results in a new representation of the W-infinity algebras in terms of 4 bosonic fields.The Adler-Kostant-Symes $R$-bracket scheme is applied to the algebra of pseudo-differential operators to relate the three integrable hierarchies: KP and its two modifications, known as nonstandard integrable models. All three hierarchies are shown to be equivalent and connection is established in the form of a symplectic gauge transformation. This construction results in a new representation of the W-infinity algebras in terms of 4 bosonic fields.The Adler-Kostant-Symes $R$-bracket scheme is applied to the algebra of pseudo-differential operators to relate the three integrable hierarchies: KP and its two modifications, known as nonstandard integrable models. All three hierarchies are shown to be equivalent and connection is established in the form of a symplectic gauge transformation. This construction results in a new representation of the W-infinity algebras in terms of 4 bosonic fields.The Adler-Kostant-Symes R -bracket scheme is applied to the algebra of pseudodifferential operators to relate the three integrable hierarchies: KP and its two modifications, known as non-standard integrable models. All three hierarchies are shown to be equivalent and a connection is established in the form of a symplectic gauge transformation. This construction results in a new representation of the W-infinity algebras in terms of four boson fields.hep-th/9209006CERN-TH-6627-92UICHEP-TH-92-13CERN-TH-6627-92UICHEP-TH-92-13oai:cds.cern.ch:2407271992
spellingShingle Particle Physics - Theory
Aratyn, H.
Nissimov, E.
Pacheva, S.
Vaisburd, I.
R-matrix formulation of KP hierarchies and their gauge equivalence
title R-matrix formulation of KP hierarchies and their gauge equivalence
title_full R-matrix formulation of KP hierarchies and their gauge equivalence
title_fullStr R-matrix formulation of KP hierarchies and their gauge equivalence
title_full_unstemmed R-matrix formulation of KP hierarchies and their gauge equivalence
title_short R-matrix formulation of KP hierarchies and their gauge equivalence
title_sort r-matrix formulation of kp hierarchies and their gauge equivalence
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(92)90678-W
http://cds.cern.ch/record/240727
work_keys_str_mv AT aratynh rmatrixformulationofkphierarchiesandtheirgaugeequivalence
AT nissimove rmatrixformulationofkphierarchiesandtheirgaugeequivalence
AT pachevas rmatrixformulationofkphierarchiesandtheirgaugeequivalence
AT vaisburdi rmatrixformulationofkphierarchiesandtheirgaugeequivalence

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