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Exact scattering in the SU(n) supersymmetric principal chiral model

Jonathan M. Evans, Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B493", Issue: 3, Pages: 517 - 540

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(97)00077-1

Abstract

The complete spectrum of states in the supersymmetric principal chiral model based on SU(n) is conjectured, and an exact factorizable S-matrix is proposed to describe scattering amongst these states. The SU(n)_L*SU(n)_R symmetry of the lagrangian is manifest in the S-matrix construction. The supersy...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1996
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URI: https://cronfa.swan.ac.uk/Record/cronfa28576
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spelling 2016-06-03T14:36:52.7774983 v2 28576 2016-06-03 Exact scattering in the SU(n) supersymmetric principal chiral model ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH The complete spectrum of states in the supersymmetric principal chiral model based on SU(n) is conjectured, and an exact factorizable S-matrix is proposed to describe scattering amongst these states. The SU(n)_L*SU(n)_R symmetry of the lagrangian is manifest in the S-matrix construction. The supersymmetries, on the other hand, are incorporated in the guise of spin-1/2 charges acting on a set of RSOS kinks associated with su(n) at level n. To test the proposed S-matrix, calculations of the change in the ground-state energy in the presence of a coupling to a background charge are carried out. The results derived from the lagrangian using perturbation theory and from the S-matrix using the TBA are found to be in complete agreement for a variety of background charges which pick out, in turn, the highest weight states in each of the fundamental representations of SU(n). In particular, these methods rule out the possibility of additional CDD factors in the S-matrix. Comparison of the expressions found for the free-energy also yields an exact result for the mass-gap in these models: Journal Article Nuclear Physics B "B493" 3 517 540 05503213 31 3 1996 1996-03-31 10.1016/S0550-3213(97)00077-1 http://inspirehep.net/record/417188 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:52.7774983 2016-06-03T14:36:52.5746970 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Jonathan M. Evans 1 Timothy Hollowood 0000-0002-3258-320X 2
title Exact scattering in the SU(n) supersymmetric principal chiral model
spellingShingle Exact scattering in the SU(n) supersymmetric principal chiral model
Timothy Hollowood
title_short Exact scattering in the SU(n) supersymmetric principal chiral model
title_full Exact scattering in the SU(n) supersymmetric principal chiral model
title_fullStr Exact scattering in the SU(n) supersymmetric principal chiral model
title_full_unstemmed Exact scattering in the SU(n) supersymmetric principal chiral model
title_sort Exact scattering in the SU(n) supersymmetric principal chiral model
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Jonathan M. Evans
Timothy Hollowood
format Journal article
container_title Nuclear Physics B
container_volume "B493"
container_issue 3
container_start_page 517
publishDate 1996
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(97)00077-1
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/417188
document_store_str 0
active_str 0
description The complete spectrum of states in the supersymmetric principal chiral model based on SU(n) is conjectured, and an exact factorizable S-matrix is proposed to describe scattering amongst these states. The SU(n)_L*SU(n)_R symmetry of the lagrangian is manifest in the S-matrix construction. The supersymmetries, on the other hand, are incorporated in the guise of spin-1/2 charges acting on a set of RSOS kinks associated with su(n) at level n. To test the proposed S-matrix, calculations of the change in the ground-state energy in the presence of a coupling to a background charge are carried out. The results derived from the lagrangian using perturbation theory and from the S-matrix using the TBA are found to be in complete agreement for a variety of background charges which pick out, in turn, the highest weight states in each of the fundamental representations of SU(n). In particular, these methods rule out the possibility of additional CDD factors in the S-matrix. Comparison of the expressions found for the free-energy also yields an exact result for the mass-gap in these models:
published_date 1996-03-31T03:34:48Z
_version_ 1763751482054672384
score 11.036706

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