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The analytic structure of trigonometric S-matrices

Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B414", Issue: 1-2, Pages: 379 - 404

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/0550-3213(94)90435-9

Abstract

$S$-matrices associated to the vector representations of the quantum groups for the classical Lie algebras are constructed. For the $a_{m-1}$ and $c_m$ algebras the complete $S$-matrix is found by an application of the bootstrap equations. It is shown that the simplest form for the $S$-matrix which...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1993
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URI: https://cronfa.swan.ac.uk/Record/cronfa28587
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first_indexed 2016-06-03T19:16:33Z
last_indexed 2018-02-09T05:12:53Z
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spelling 2016-06-03T14:37:01.8567565 v2 28587 2016-06-03 The analytic structure of trigonometric S-matrices ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH $S$-matrices associated to the vector representations of the quantum groups for the classical Lie algebras are constructed. For the $a_{m-1}$ and $c_m$ algebras the complete $S$-matrix is found by an application of the bootstrap equations. It is shown that the simplest form for the $S$-matrix which generalizes that of the Gross-Neveu model is not consistent for the non-simply-laced algebras due to the existence of unexplained singularities on the physical strip. However, a form which generalizes the $S$-matrix of the principal chiral model is shown to be Journal Article Nuclear Physics B "B414" 1-2 379 404 05503213 31 5 1993 1993-05-31 10.1016/0550-3213(94)90435-9 http://inspirehep.net/record/354275 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:37:01.8567565 2016-06-03T14:37:01.6851554 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Timothy Hollowood 0000-0002-3258-320X 1
title The analytic structure of trigonometric S-matrices
spellingShingle The analytic structure of trigonometric S-matrices
Timothy Hollowood
title_short The analytic structure of trigonometric S-matrices
title_full The analytic structure of trigonometric S-matrices
title_fullStr The analytic structure of trigonometric S-matrices
title_full_unstemmed The analytic structure of trigonometric S-matrices
title_sort The analytic structure of trigonometric S-matrices
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Timothy Hollowood
format Journal article
container_title Nuclear Physics B
container_volume "B414"
container_issue 1-2
container_start_page 379
publishDate 1993
institution Swansea University
issn 05503213
doi_str_mv 10.1016/0550-3213(94)90435-9
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/354275
document_store_str 0
active_str 0
description $S$-matrices associated to the vector representations of the quantum groups for the classical Lie algebras are constructed. For the $a_{m-1}$ and $c_m$ algebras the complete $S$-matrix is found by an application of the bootstrap equations. It is shown that the simplest form for the $S$-matrix which generalizes that of the Gross-Neveu model is not consistent for the non-simply-laced algebras due to the existence of unexplained singularities on the physical strip. However, a form which generalizes the $S$-matrix of the principal chiral model is shown to be
published_date 1993-05-31T03:34:50Z
_version_ 1763751483401043968
score 11.036706

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