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New topological theories and conjugacy classes of the Weyl group

J.Luis Miramontes, Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B409", Issue: 2, Pages: 465 - 486

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/0550-3213(93)90589-H

Abstract

The problem of interpreting a set of ${\cal W}$-algebra constraints constructed in terms of an arbitrarily twisted scalar field as the recursion relations of a topological theory is addressed. In this picture, the conventional models of topological gravity coupled to $A$, $D$ or $E$ topological matt...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1992
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URI: https://cronfa.swan.ac.uk/Record/cronfa28588
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first_indexed 2016-06-03T19:16:33Z
last_indexed 2018-02-09T05:12:53Z
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spelling 2016-06-03T14:37:02.6679617 v2 28588 2016-06-03 New topological theories and conjugacy classes of the Weyl group ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH The problem of interpreting a set of ${\cal W}$-algebra constraints constructed in terms of an arbitrarily twisted scalar field as the recursion relations of a topological theory is addressed. In this picture, the conventional models of topological gravity coupled to $A$, $D$ or $E$ topological matter, correspond to taking the scalar field twisted by the Coxeter element of the Weyl group. It turns out that not all conjugacy classes of the Weyl group lead to a topological model. For example, it is shown that for the $A$ algebras there are two possible choices for the conjugacy class, giving both the conventional and a new series of topological models. Furthermore, it is shown how the new series of theories contains the conventional series as a subsector. A tentative interpretation of this new series in terms of intersection theory is Journal Article Nuclear Physics B "B409" 2 465 486 05503213 31 12 1992 1992-12-31 10.1016/0550-3213(93)90589-H http://inspirehep.net/record/341602 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:37:02.6679617 2016-06-03T14:37:02.4495603 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics J.Luis Miramontes 1 Timothy Hollowood 0000-0002-3258-320X 2
title New topological theories and conjugacy classes of the Weyl group
spellingShingle New topological theories and conjugacy classes of the Weyl group
Timothy Hollowood
title_short New topological theories and conjugacy classes of the Weyl group
title_full New topological theories and conjugacy classes of the Weyl group
title_fullStr New topological theories and conjugacy classes of the Weyl group
title_full_unstemmed New topological theories and conjugacy classes of the Weyl group
title_sort New topological theories and conjugacy classes of the Weyl group
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 J.Luis Miramontes
Timothy Hollowood
format Journal article
container_title Nuclear Physics B
container_volume "B409"
container_issue 2
container_start_page 465
publishDate 1992
institution Swansea University
issn 05503213
doi_str_mv 10.1016/0550-3213(93)90589-H
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/341602
document_store_str 0
active_str 0
description The problem of interpreting a set of ${\cal W}$-algebra constraints constructed in terms of an arbitrarily twisted scalar field as the recursion relations of a topological theory is addressed. In this picture, the conventional models of topological gravity coupled to $A$, $D$ or $E$ topological matter, correspond to taking the scalar field twisted by the Coxeter element of the Weyl group. It turns out that not all conjugacy classes of the Weyl group lead to a topological model. For example, it is shown that for the $A$ algebras there are two possible choices for the conjugacy class, giving both the conventional and a new series of topological models. Furthermore, it is shown how the new series of theories contains the conventional series as a subsector. A tentative interpretation of this new series in terms of intersection theory is
published_date 1992-12-31T03:34:50Z
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score 11.036706

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