The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgrounds
Autor(a) principal: | |
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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. |
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The matrix product ansatz for integrable U(1)N models in Lunin-Maldacena backgroundsSpin chainsMatrix product ansatzBethe ansatzAdS/CFTWe 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.2011-09-30T01:45:22Z2011-09-30T01:45:22Z2008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfLAZO, 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/1/1059engLazo, Matheus Jatkoskeinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da FURG (RI FURG)instname:Universidade Federal do Rio Grande (FURG)instacron:FURG2011-09-30T01:45:22Zoai:repositorio.furg.br:1/1059Repositório 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.none.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.none.fl_str_mv |
2008 2011-09-30T01:45:22Z 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.uri.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. 0103-9733 http://repositorio.furg.br/handle/1/1059 |
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.format.none.fl_str_mv |
application/pdf |
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) |
repository.name.fl_str_mv |
Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG) |
repository.mail.fl_str_mv |
|
_version_ |
1807384374670262272 |