The SU(3) spin chain sigma model and string theory

The ferromagnetic integrable SU(3) spin chain provides the one loop anomalous dimension of single trace operators involving the three complex scalars of N = 4 supersymmetric Yang-Mills. We construct the non-linear sigma model describing the continuum limit of the SU(3) spin chain. We find that this...

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Bibliographic Details
Authors: Hernández Redondo, Rafael; López, Esperanza
Format: Article
Publication date:2004
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/52163
Online Access:https://hdl.handle.net/20.500.14352/52163
Access Level:Open access
Keyword:53
Física-Modelos matemáticos
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author Hernández Redondo, Rafael
author2 López, Esperanza
author2_role author
author_browse Hernández Redondo, Rafael
López, Esperanza
author_facet Hernández Redondo, Rafael
López, Esperanza
author_role author
collection Docta Complutense
description The ferromagnetic integrable SU(3) spin chain provides the one loop anomalous dimension of single trace operators involving the three complex scalars of N = 4 supersymmetric Yang-Mills. We construct the non-linear sigma model describing the continuum limit of the SU(3) spin chain. We find that this sigma model corresponds to a string moving with large angular momentum in the five-sphere in AdS5 × S 5 . The energy and spectrum of fluctuations for rotating circular strings with angular momenta along three orthogonal directions of the five-sphere is reproduced as a particular case from the spin chain sigma model.
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institution Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
language eng
network_acronym_str ES
network_name_str España
oai_identifier_str oai:docta.ucm.es:20.500.14352/52163
publishDate 2004
publishDateSort 2004
publisher Int School Advanced Studies
publisherStr Int School Advanced Studies
reponame_str Docta Complutense
spelling The SU(3) spin chain sigma model and string theory Hernández Redondo, Rafael López, Esperanza 53 Física-Modelos matemáticos The ferromagnetic integrable SU(3) spin chain provides the one loop anomalous dimension of single trace operators involving the three complex scalars of N = 4 supersymmetric Yang-Mills. We construct the non-linear sigma model describing the continuum limit of the SU(3) spin chain. We find that this sigma model corresponds to a string moving with large angular momentum in the five-sphere in AdS5 × S 5 . The energy and spectrum of fluctuations for rotating circular strings with angular momenta along three orthogonal directions of the five-sphere is reproduced as a particular case from the spin chain sigma model. Int School Advanced Studies https://hdl.handle.net/20.500.14352/52163
spellingShingle The SU(3) spin chain sigma model and string theory
Hernández Redondo, Rafael
53
Física-Modelos matemáticos
title The SU(3) spin chain sigma model and string theory
title_full The SU(3) spin chain sigma model and string theory
title_fullStr The SU(3) spin chain sigma model and string theory
title_full_unstemmed The SU(3) spin chain sigma model and string theory
title_short The SU(3) spin chain sigma model and string theory
title_sort The SU(3) spin chain sigma model and string theory
topic 53
Física-Modelos matemáticos
topic_facet 53
Física-Modelos matemáticos
url https://hdl.handle.net/20.500.14352/52163