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Lagrangian formulation of symmetric space sine-Gordon models
The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim \sigma-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by considering a triplet of Lie groups F \supset G \supset H. We show...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
1995
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1016/0370-2693(96)00026-3 http://cds.cern.ch/record/292517 |
_version_ | 1780888743486423040 |
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author | Bakas, Ioannis Park, Q-Han Shin, Hyun-Jonag |
author_facet | Bakas, Ioannis Park, Q-Han Shin, Hyun-Jonag |
author_sort | Bakas, Ioannis |
collection | CERN |
description | The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim \sigma-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by considering a triplet of Lie groups F \supset G \supset H. We show that for every symmetric space F/G, the generalized sine-Gordon models can be derived from the G/H WZW action, plus a potential term that is algebraically specified. Thus, the symmetric space sine-Gordon models describe certain integrable perturbations of coset conformal field theories at the classical level. We also briefly discuss their vacuum structure, Backlund transformations, and soliton solutions. |
id | cern-292517 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1995 |
record_format | invenio |
spelling | cern-2925172023-03-14T18:08:44Zdoi:10.1016/0370-2693(96)00026-3http://cds.cern.ch/record/292517engBakas, IoannisPark, Q-HanShin, Hyun-JonagLagrangian formulation of symmetric space sine-Gordon modelsParticle Physics - TheoryThe symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim \sigma-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by considering a triplet of Lie groups F \supset G \supset H. We show that for every symmetric space F/G, the generalized sine-Gordon models can be derived from the G/H WZW action, plus a potential term that is algebraically specified. Thus, the symmetric space sine-Gordon models describe certain integrable perturbations of coset conformal field theories at the classical level. We also briefly discuss their vacuum structure, Backlund transformations, and soliton solutions.The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim $\sigma$-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by considering a triplet of Lie groups $F \supset G \supset H$. We show that for every symmetric space $F/G$, the generalized sine-Gordon models can be derived from the $G/H$ WZW action, plus a potential term that is algebraically specified. Thus, the symmetric space sine-Gordon models describe certain integrable perturbations of coset conformal field theories at the classical level. We also briefly discuss their vacuum structure, Backlund transformations, and soliton solutions.The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim σ-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by considering a triplet of Lie groups F ⊃ G ⊃ H . We show that for every symmetric space F G , the generalized sine-Gordon models can be derived from the G H WZW action, plus a potential term that is algebraically specified. Thus, the symmetric space sine-Gordon models describe certain integrable perturbations of coset conformal field theories at the classical level. We also briefly discuss their vacuum structure, Bäcklund transformations, and soliton solutions.hep-th/9512030CERN-TH-95-321ENSLAPP-A-565-95SNUTP-95-119CERN-TH-95-321ENSLAPP-A-565SNUTP-95-119oai:cds.cern.ch:2925171995-12-06 |
spellingShingle | Particle Physics - Theory Bakas, Ioannis Park, Q-Han Shin, Hyun-Jonag Lagrangian formulation of symmetric space sine-Gordon models |
title | Lagrangian formulation of symmetric space sine-Gordon models |
title_full | Lagrangian formulation of symmetric space sine-Gordon models |
title_fullStr | Lagrangian formulation of symmetric space sine-Gordon models |
title_full_unstemmed | Lagrangian formulation of symmetric space sine-Gordon models |
title_short | Lagrangian formulation of symmetric space sine-Gordon models |
title_sort | lagrangian formulation of symmetric space sine-gordon models |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1016/0370-2693(96)00026-3 http://cds.cern.ch/record/292517 |
work_keys_str_mv | AT bakasioannis lagrangianformulationofsymmetricspacesinegordonmodels AT parkqhan lagrangianformulationofsymmetricspacesinegordonmodels AT shinhyunjonag lagrangianformulationofsymmetricspacesinegordonmodels |