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S-matrices and quantum group symmetry of k-deformed sigma models

Timothy Hollowood Orcid Logo, J Luis Miramontes, David M Schmidtt

Journal of Physics A: Mathematical and Theoretical, Volume: 49, Issue: 46, Start page: 465201

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1088/1751-8113/49/46/465201

Abstract

Recently, several kinds of integrable deformations of the string world sheet theory in the gauge/gravity correspondence have been constructed. One class of these, the k deformations associated to the more general q deformations but with q=exp(i pi/k) a root of unity, has been shown to be related to...

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Published in: Journal of Physics A: Mathematical and Theoretical
ISSN: 1751-8113 1751-8121
Published: IOP Publishing 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa28516
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first_indexed 2016-06-03T19:16:09Z
last_indexed 2018-02-09T05:12:43Z
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spelling 2016-12-22T09:44:53.6569964 v2 28516 2016-06-03 S-matrices and quantum group symmetry of k-deformed sigma models ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH Recently, several kinds of integrable deformations of the string world sheet theory in the gauge/gravity correspondence have been constructed. One class of these, the k deformations associated to the more general q deformations but with q=exp(i pi/k) a root of unity, has been shown to be related to a particular discrete deformation of the principal chiral models and (semi-)symmetric space sigma models involving a gauged WZW model. We conjecture a form for the exact S-matrices of the bosonic integrable field theories of this type. The S-matrices imply that the theories have a hidden infinite dimensional affine quantum group symmetry. We provide some evidence, via quantum inverse scattering techniques, that the theories do indeed possess the finite-dimensional part of this quantum group Journal Article Journal of Physics A: Mathematical and Theoretical 49 46 465201 IOP Publishing 1751-8113 1751-8121 21 10 2016 2016-10-21 10.1088/1751-8113/49/46/465201 http://inspirehep.net/record/1377405 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-12-22T09:44:53.6569964 2016-06-03T14:36:04.8695912 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Timothy Hollowood 0000-0002-3258-320X 1 J Luis Miramontes 2 David M Schmidtt 3 0028516-22122016093245.pdf q-deformation10.pdf 2016-12-22T09:32:45.9070000 Output 410563 application/pdf Accepted Manuscript true 2017-10-21T00:00:00.0000000 true
title S-matrices and quantum group symmetry of k-deformed sigma models
spellingShingle S-matrices and quantum group symmetry of k-deformed sigma models
Timothy Hollowood
title_short S-matrices and quantum group symmetry of k-deformed sigma models
title_full S-matrices and quantum group symmetry of k-deformed sigma models
title_fullStr S-matrices and quantum group symmetry of k-deformed sigma models
title_full_unstemmed S-matrices and quantum group symmetry of k-deformed sigma models
title_sort S-matrices and quantum group symmetry of k-deformed sigma models
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Timothy Hollowood
J Luis Miramontes
David M Schmidtt
format Journal article
container_title Journal of Physics A: Mathematical and Theoretical
container_volume 49
container_issue 46
container_start_page 465201
publishDate 2016
institution Swansea University
issn 1751-8113
1751-8121
doi_str_mv 10.1088/1751-8113/49/46/465201
publisher IOP Publishing
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/1377405
document_store_str 1
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description Recently, several kinds of integrable deformations of the string world sheet theory in the gauge/gravity correspondence have been constructed. One class of these, the k deformations associated to the more general q deformations but with q=exp(i pi/k) a root of unity, has been shown to be related to a particular discrete deformation of the principal chiral models and (semi-)symmetric space sigma models involving a gauged WZW model. We conjecture a form for the exact S-matrices of the bosonic integrable field theories of this type. The S-matrices imply that the theories have a hidden infinite dimensional affine quantum group symmetry. We provide some evidence, via quantum inverse scattering techniques, that the theories do indeed possess the finite-dimensional part of this quantum group
published_date 2016-10-21T03:34:43Z
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score 11.013371

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