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Integrable Superstrings on the Squashed Three-sphere

In this note we study type II superstring theory on the direct product of AdS3, the squashed three-sphere and a four-torus (AdS3 \times SqS3 \times T4). We derive explicitly the Green-Schwarz action and discuss in detail the hidden integrable structure corresponding to local and non-local currents....

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Detalles Bibliográficos
Autores principales: Orlando, Domenico, Uruchurtu, Linda I.
Lenguaje:eng
Publicado: 2012
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP10(2012)007
http://cds.cern.ch/record/1473812
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author Orlando, Domenico
Uruchurtu, Linda I.
author_facet Orlando, Domenico
Uruchurtu, Linda I.
author_sort Orlando, Domenico
collection CERN
description In this note we study type II superstring theory on the direct product of AdS3, the squashed three-sphere and a four-torus (AdS3 \times SqS3 \times T4). We derive explicitly the Green-Schwarz action and discuss in detail the hidden integrable structure corresponding to local and non-local currents. We find that the model is classically integrable and that the currents generate a full psu(1, 1|2) superalgebra, even though the corresponding spacetime isometries are broken by the squashing.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2012
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spelling cern-14738122023-10-04T07:33:38Zdoi:10.1007/JHEP10(2012)007http://cds.cern.ch/record/1473812engOrlando, DomenicoUruchurtu, Linda I.Integrable Superstrings on the Squashed Three-sphereParticle Physics - TheoryIn this note we study type II superstring theory on the direct product of AdS3, the squashed three-sphere and a four-torus (AdS3 \times SqS3 \times T4). We derive explicitly the Green-Schwarz action and discuss in detail the hidden integrable structure corresponding to local and non-local currents. We find that the model is classically integrable and that the currents generate a full psu(1, 1|2) superalgebra, even though the corresponding spacetime isometries are broken by the squashing.In this note we study type II superstring theory on the direct product of AdS3, the squashed three-sphere and a four-torus (AdS3 \times SqS3 \times T4). We derive explicitly the Green-Schwarz action and discuss in detail the hidden integrable structure corresponding to local and non-local currents. We find that the model is classically integrable and that the currents generate a full psu(1, 1|2) superalgebra, even though the corresponding spacetime isometries are broken by the squashing.arXiv:1208.3680CERN-PH-TH-2012-224IMPERIAL-TP-2012-LIU-01CERN-PH-TH-2012-224IMPERIAL-TP-2012-LIU-01oai:cds.cern.ch:14738122012-08-21
spellingShingle Particle Physics - Theory
Orlando, Domenico
Uruchurtu, Linda I.
Integrable Superstrings on the Squashed Three-sphere
title Integrable Superstrings on the Squashed Three-sphere
title_full Integrable Superstrings on the Squashed Three-sphere
title_fullStr Integrable Superstrings on the Squashed Three-sphere
title_full_unstemmed Integrable Superstrings on the Squashed Three-sphere
title_short Integrable Superstrings on the Squashed Three-sphere
title_sort integrable superstrings on the squashed three-sphere
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP10(2012)007
http://cds.cern.ch/record/1473812
work_keys_str_mv AT orlandodomenico integrablesuperstringsonthesquashedthreesphere
AT uruchurtulindai integrablesuperstringsonthesquashedthreesphere