Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds

Detalhes bibliográficos
Autor(a) principal: Lazo,Matheus Jatkoske
Data de Publicação: 2008
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000400017
Resumo: We obtain through a Matrix Product Ansatz the exact solution of the most general inhomogeneous spin chain with nearest neighbor interaction and with U(1)² and U(1)³ symmetries. These models are related to the one loop mixing matrix of the Leigh-Strassler deformed N = 4 SYM theory, dual to type IIB string theory in the generalized Lunin-Maldacena backgrounds, in the sectors of two and three kinds of fields, respectively. The solutions presented here generalizes the results obtained by the author in a previous work for homogeneous spins chains with U(1)N symmetries in the sectors of N = 2 and N = 3.
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spelling Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgroundsSpin chainsMatrix product ansatzBethe ansatzAdS/CFTWe obtain through a Matrix Product Ansatz the exact solution of the most general inhomogeneous spin chain with nearest neighbor interaction and with U(1)² and U(1)³ symmetries. These models are related to the one loop mixing matrix of the Leigh-Strassler deformed N = 4 SYM theory, dual to type IIB string theory in the generalized Lunin-Maldacena backgrounds, in the sectors of two and three kinds of fields, respectively. The solutions presented here generalizes the results obtained by the author in a previous work for homogeneous spins chains with U(1)N symmetries in the sectors of N = 2 and N = 3.Sociedade Brasileira de Física2008-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000400017Brazilian Journal of Physics v.38 n.3b 2008reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332008000400017info:eu-repo/semantics/openAccessLazo,Matheus Jatkoskeeng2008-11-19T00:00:00Zoai:scielo:S0103-97332008000400017Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2008-11-19T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds
title Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds
spellingShingle Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds
Lazo,Matheus Jatkoske
Spin chains
Matrix product ansatz
Bethe ansatz
AdS/CFT
title_short Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds
title_full Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds
title_fullStr Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds
title_full_unstemmed Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds
title_sort Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds
author Lazo,Matheus Jatkoske
author_facet Lazo,Matheus Jatkoske
author_role author
dc.contributor.author.fl_str_mv Lazo,Matheus Jatkoske
dc.subject.por.fl_str_mv Spin chains
Matrix product ansatz
Bethe ansatz
AdS/CFT
topic Spin chains
Matrix product ansatz
Bethe ansatz
AdS/CFT
description We obtain through a Matrix Product Ansatz the exact solution of the most general inhomogeneous spin chain with nearest neighbor interaction and with U(1)² and U(1)³ symmetries. These models are related to the one loop mixing matrix of the Leigh-Strassler deformed N = 4 SYM theory, dual to type IIB string theory in the generalized Lunin-Maldacena backgrounds, in the sectors of two and three kinds of fields, respectively. The solutions presented here generalizes the results obtained by the author in a previous work for homogeneous spins chains with U(1)N symmetries in the sectors of N = 2 and N = 3.
publishDate 2008
dc.date.none.fl_str_mv 2008-09-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000400017
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000400017
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332008000400017
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.38 n.3b 2008
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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