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: Repositório Institucional da FURG (RI FURG)
Texto Completo: http://repositorio.furg.br/handle/1/1053
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 Lazo, Matheus Jatkoske2011-09-30T01:01:29Z2011-09-30T01:01:29Z2008LAZO, Matheus Jatkoske. Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds. Brazilian Journal of Physics, v. 38, n. 3B, p. 472-476, 2008. Disponível em: <http://www.sbfisica.org.br/bjp/files/v38_472.pdf> Acesso em: 29 set. 2011.0103-9733http://repositorio.furg.br/handle/1/1053We 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.engSpin chainsMatrix product ansatzBethe ansatzAdS/CFTIntegrable inhomogeneous spin chains in generalized Lunin-Maldacena backgroundsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da FURG (RI FURG)instname:Universidade Federal do Rio Grande (FURG)instacron:FURGORIGINALIntegrable Inhomogeneous Spin Chains in Generalized Lunin-Maldacena Backgrounds.pdfIntegrable Inhomogeneous Spin Chains in Generalized Lunin-Maldacena Backgrounds.pdfapplication/pdf132823https://repositorio.furg.br/bitstream/1/1053/1/Integrable%20Inhomogeneous%20Spin%20Chains%20in%20Generalized%20Lunin-Maldacena%20Backgrounds.pdf3973fcc56d5510d2d4306f47024453f4MD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-81724https://repositorio.furg.br/bitstream/1/1053/2/license.txt5b92b9704b4f13242d70e45ddef35a68MD52open access1/10532011-09-29 22:01:29.684open accessoai:repositorio.furg.br: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Repositório InstitucionalPUBhttps://repositorio.furg.br/oai/request || http://200.19.254.174/oai/requestopendoar:2011-09-30T01:01:29Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)false
dc.title.pt_BR.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.issued.fl_str_mv 2008
dc.date.accessioned.fl_str_mv 2011-09-30T01:01:29Z
dc.date.available.fl_str_mv 2011-09-30T01:01:29Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.citation.fl_str_mv LAZO, Matheus Jatkoske. Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds. Brazilian Journal of Physics, v. 38, n. 3B, p. 472-476, 2008. Disponível em: <http://www.sbfisica.org.br/bjp/files/v38_472.pdf> Acesso em: 29 set. 2011.
dc.identifier.uri.fl_str_mv http://repositorio.furg.br/handle/1/1053
dc.identifier.issn.none.fl_str_mv 0103-9733
identifier_str_mv LAZO, Matheus Jatkoske. Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds. Brazilian Journal of Physics, v. 38, n. 3B, p. 472-476, 2008. Disponível em: <http://www.sbfisica.org.br/bjp/files/v38_472.pdf> Acesso em: 29 set. 2011.
0103-9733
url http://repositorio.furg.br/handle/1/1053
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da FURG (RI FURG)
instname:Universidade Federal do Rio Grande (FURG)
instacron:FURG
instname_str Universidade Federal do Rio Grande (FURG)
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institution FURG
reponame_str Repositório Institucional da FURG (RI FURG)
collection Repositório Institucional da FURG (RI FURG)
bitstream.url.fl_str_mv https://repositorio.furg.br/bitstream/1/1053/1/Integrable%20Inhomogeneous%20Spin%20Chains%20in%20Generalized%20Lunin-Maldacena%20Backgrounds.pdf
https://repositorio.furg.br/bitstream/1/1053/2/license.txt
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