The matrix product ansatz for integrable U(1)N models in 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/1/1059
Resumo: We obtain through a Matrix Product Ansatz (MPA) the exact solution of the most general N-state spin chain with U(1)N symmetry and nearest neighbour interaction. In the case N = 6 this model contain as a special case the integrable SO(6) spin chain related to the one loop mixing matrix for anomalous dimensions in N =4 SYM, dual to type IIB string theory in the generalised Lunin-Maldacena backgrounds. This MPA is construct by a map between scalar fields and abstract operators that satisfy an appropriate associative algebra. We analyses the Yang-Baxter equation in the N = 3 sector and the consistence of the algebraic relations among the matrices defining the MPA and find a new class of exactly integrable model unknown up to now.
id FURG_bce002280d58cca6e010839cda7e3825
oai_identifier_str oai:repositorio.furg.br:1/1059
network_acronym_str FURG
network_name_str Repositório Institucional da FURG (RI FURG)
repository_id_str
spelling Lazo, Matheus Jatkoske2011-09-30T01:45:22Z2011-09-30T01:45:22Z2008LAZO, Matheus Jatkoske. The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds. Brazilian Journal of Physics, v. 38, p. 237-244, 2008. Disponível em: <http://www.sbfisica.org.br/bjp/files/v38_237.pdf> Acesso em: 29 set. 2011.0103-9733http://repositorio.furg.br/handle/1/1059We obtain through a Matrix Product Ansatz (MPA) the exact solution of the most general N-state spin chain with U(1)N symmetry and nearest neighbour interaction. In the case N = 6 this model contain as a special case the integrable SO(6) spin chain related to the one loop mixing matrix for anomalous dimensions in N =4 SYM, dual to type IIB string theory in the generalised Lunin-Maldacena backgrounds. This MPA is construct by a map between scalar fields and abstract operators that satisfy an appropriate associative algebra. We analyses the Yang-Baxter equation in the N = 3 sector and the consistence of the algebraic relations among the matrices defining the MPA and find a new class of exactly integrable model unknown up to now.engSpin chainsMatrix product ansatzBethe ansatzAdS/CFTThe matrix product ansatz for integrable U(1)N models in 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:FURGORIGINALThe Matrix Product Ansatz for Integrable U(1)N Models in Lunin-Maldacena Backgrounds.pdfThe Matrix Product Ansatz for Integrable U(1)N Models in Lunin-Maldacena Backgrounds.pdfapplication/pdf149555https://repositorio.furg.br/bitstream/1/1059/1/The%20Matrix%20Product%20Ansatz%20for%20Integrable%20U%281%29N%20Models%20in%20Lunin-Maldacena%20Backgrounds.pdf22d6a65b6ec84beb59e745e8226f40a9MD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-81724https://repositorio.furg.br/bitstream/1/1059/2/license.txt5b92b9704b4f13242d70e45ddef35a68MD52open access1/10592011-09-29 22:45:22.389open accessoai:repositorio.furg.br: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Repositório InstitucionalPUBhttps://repositorio.furg.br/oai/request || http://200.19.254.174/oai/requestopendoar:2011-09-30T01:45:22Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)false
dc.title.pt_BR.fl_str_mv The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds
title The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds
spellingShingle The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds
Lazo, Matheus Jatkoske
Spin chains
Matrix product ansatz
Bethe ansatz
AdS/CFT
title_short The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds
title_full The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds
title_fullStr The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds
title_full_unstemmed The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds
title_sort The matrix product ansatz for integrable U(1)N models in 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 (MPA) the exact solution of the most general N-state spin chain with U(1)N symmetry and nearest neighbour interaction. In the case N = 6 this model contain as a special case the integrable SO(6) spin chain related to the one loop mixing matrix for anomalous dimensions in N =4 SYM, dual to type IIB string theory in the generalised Lunin-Maldacena backgrounds. This MPA is construct by a map between scalar fields and abstract operators that satisfy an appropriate associative algebra. We analyses the Yang-Baxter equation in the N = 3 sector and the consistence of the algebraic relations among the matrices defining the MPA and find a new class of exactly integrable model unknown up to now.
publishDate 2008
dc.date.issued.fl_str_mv 2008
dc.date.accessioned.fl_str_mv 2011-09-30T01:45:22Z
dc.date.available.fl_str_mv 2011-09-30T01:45:22Z
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. The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds. Brazilian Journal of Physics, v. 38, p. 237-244, 2008. Disponível em: <http://www.sbfisica.org.br/bjp/files/v38_237.pdf> Acesso em: 29 set. 2011.
dc.identifier.uri.fl_str_mv http://repositorio.furg.br/handle/1/1059
dc.identifier.issn.none.fl_str_mv 0103-9733
identifier_str_mv LAZO, Matheus Jatkoske. The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds. Brazilian Journal of Physics, v. 38, p. 237-244, 2008. Disponível em: <http://www.sbfisica.org.br/bjp/files/v38_237.pdf> Acesso em: 29 set. 2011.
0103-9733
url http://repositorio.furg.br/handle/1/1059
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)
instacron_str FURG
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/1/1059/1/The%20Matrix%20Product%20Ansatz%20for%20Integrable%20U%281%29N%20Models%20in%20Lunin-Maldacena%20Backgrounds.pdf
https://repositorio.furg.br/bitstream/1/1059/2/license.txt
bitstream.checksum.fl_str_mv 22d6a65b6ec84beb59e745e8226f40a9
5b92b9704b4f13242d70e45ddef35a68
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)
repository.mail.fl_str_mv
_version_ 1798313603441360896

Registros relacionados