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NonAbelian duality in N=4 supersymmetric gauge theories

Nicholas Dorey, Marco A.C. Kneipp, Christophe Fraser, Timothy Hollowood Orcid Logo

Swansea University Author: Timothy Hollowood Orcid Logo

Abstract

A semi-classical check of the Goddard-Nuyts-Olive (GNO) generalized duality conjecture for gauge theories with adjoint Higgs fields is performed for the case where the unbroken gauge group is non-abelian. The monopole solutions of the theory transform under the non-abelian part of the unbroken globa...

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Published: 1995
Online Access: http://inspirehep.net/record/403683
URI: https://cronfa.swan.ac.uk/Record/cronfa28577
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spelling 2016-06-03T14:36:53.3079017 v2 28577 2016-06-03 NonAbelian duality in N=4 supersymmetric gauge theories ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH A semi-classical check of the Goddard-Nuyts-Olive (GNO) generalized duality conjecture for gauge theories with adjoint Higgs fields is performed for the case where the unbroken gauge group is non-abelian. The monopole solutions of the theory transform under the non-abelian part of the unbroken global symmetry and the associated component of the moduli space is a hermitian symmetric space. The well-known problems in introducing collective coordinates for these degrees-of-freedom are solved by considering a particular multi-monopole configuration in which the long-range non-abelian fields cancel. In the context of an $N=4$ supersymmetric gauge theory, the multiplicity of BPS saturated states is given by the number of ground-states of a supersymmetric quantum mechanics on the compact internal moduli space. The resulting degeneracy is expressed as the Euler character of a hermitian symmetric coset space. In all cases the number of states is consistent with the dimensions of the multiplets of the unbroken dual gauge group, in agreement with the GNO Working paper 31 12 1995 1995-12-31 http://inspirehep.net/record/403683 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:53.3079017 2016-06-03T14:36:53.3079017 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Nicholas Dorey 1 Marco A.C. Kneipp 2 Christophe Fraser 3 Timothy Hollowood 0000-0002-3258-320X 4
title NonAbelian duality in N=4 supersymmetric gauge theories
spellingShingle NonAbelian duality in N=4 supersymmetric gauge theories
Timothy Hollowood
title_short NonAbelian duality in N=4 supersymmetric gauge theories
title_full NonAbelian duality in N=4 supersymmetric gauge theories
title_fullStr NonAbelian duality in N=4 supersymmetric gauge theories
title_full_unstemmed NonAbelian duality in N=4 supersymmetric gauge theories
title_sort NonAbelian duality in N=4 supersymmetric gauge theories
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Nicholas Dorey
Marco A.C. Kneipp
Christophe Fraser
Timothy Hollowood
format Working paper
publishDate 1995
institution Swansea University
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/403683
document_store_str 0
active_str 0
description A semi-classical check of the Goddard-Nuyts-Olive (GNO) generalized duality conjecture for gauge theories with adjoint Higgs fields is performed for the case where the unbroken gauge group is non-abelian. The monopole solutions of the theory transform under the non-abelian part of the unbroken global symmetry and the associated component of the moduli space is a hermitian symmetric space. The well-known problems in introducing collective coordinates for these degrees-of-freedom are solved by considering a particular multi-monopole configuration in which the long-range non-abelian fields cancel. In the context of an $N=4$ supersymmetric gauge theory, the multiplicity of BPS saturated states is given by the number of ground-states of a supersymmetric quantum mechanics on the compact internal moduli space. The resulting degeneracy is expressed as the Euler character of a hermitian symmetric coset space. In all cases the number of states is consistent with the dimensions of the multiplets of the unbroken dual gauge group, in agreement with the GNO
published_date 1995-12-31T03:34:49Z
_version_ 1763751482179452928
score 11.016235

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