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Rational conformal field theories at, and away from, criticality as Toda field theories

Paul Mansfield, Timothy Hollowood Orcid Logo

Physics Letters B, Volume: "B226", Issue: 1-2, Pages: 73 - 79

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/0370-2693(89)90291-8

Abstract

Recently, Zamolodchikov has shown that certain minimal conformal field theories preserve their integrability away from the critical point. In an attempt to understand these results we consider a class of integrable field theories, namely two-dimensional Toda field theories. It is found that for part...

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Published in: Physics Letters B
ISSN: 03702693
Published: 1989
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URI: https://cronfa.swan.ac.uk/Record/cronfa28604
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first_indexed 2016-06-03T19:16:38Z
last_indexed 2018-02-09T05:12:56Z
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spelling 2016-06-03T14:37:15.6472449 v2 28604 2016-06-03 Rational conformal field theories at, and away from, criticality as Toda field theories ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH Recently, Zamolodchikov has shown that certain minimal conformal field theories preserve their integrability away from the critical point. In an attempt to understand these results we consider a class of integrable field theories, namely two-dimensional Toda field theories. It is found that for particular values of the coupling constant these theories describe minimal models, in particular the Ising model can be described both by an E 8 and A 1 Toda field theory. The affine versions of these theories then represent the model away from criticality, for instance the Ising model in a magnetic field is described by the affine E 8 Toda field theory, whereas the affine A 1 theory describes a thermal perturbation. This generalizes to a deformation of all minimal Conference Paper/Proceeding/Abstract Physics Letters B "B226" 1-2 73 79 03702693 31 5 1989 1989-05-31 10.1016/0370-2693(89)90291-8 http://inspirehep.net/record/279125 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:37:15.6472449 2016-06-03T14:37:15.4288435 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Paul Mansfield 1 Timothy Hollowood 0000-0002-3258-320X 2
title Rational conformal field theories at, and away from, criticality as Toda field theories
spellingShingle Rational conformal field theories at, and away from, criticality as Toda field theories
Timothy Hollowood
title_short Rational conformal field theories at, and away from, criticality as Toda field theories
title_full Rational conformal field theories at, and away from, criticality as Toda field theories
title_fullStr Rational conformal field theories at, and away from, criticality as Toda field theories
title_full_unstemmed Rational conformal field theories at, and away from, criticality as Toda field theories
title_sort Rational conformal field theories at, and away from, criticality as Toda field theories
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Paul Mansfield
Timothy Hollowood
format Conference Paper/Proceeding/Abstract
container_title Physics Letters B
container_volume "B226"
container_issue 1-2
container_start_page 73
publishDate 1989
institution Swansea University
issn 03702693
doi_str_mv 10.1016/0370-2693(89)90291-8
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/279125
document_store_str 0
active_str 0
description Recently, Zamolodchikov has shown that certain minimal conformal field theories preserve their integrability away from the critical point. In an attempt to understand these results we consider a class of integrable field theories, namely two-dimensional Toda field theories. It is found that for particular values of the coupling constant these theories describe minimal models, in particular the Ising model can be described both by an E 8 and A 1 Toda field theory. The affine versions of these theories then represent the model away from criticality, for instance the Ising model in a magnetic field is described by the affine E 8 Toda field theory, whereas the affine A 1 theory describes a thermal perturbation. This generalizes to a deformation of all minimal
published_date 1989-05-31T03:34:52Z
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score 11.013731

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