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Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory

Roberto Auzzi, Prem Kumar Orcid Logo

Journal of High Energy Physics

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2009/10/071

Abstract

We find half-BPS vortex solitons, at both weak and strong coupling, in the N=6 supersymmetric mass deformation of ABJM theory with U(N) x U(N) gauge symmetry and Chern-Simons level k. The strong coupling gravity dual is obtained by performing a Z_k quotient of the N=8 supersymmetric eleven dimension...

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Published in: Journal of High Energy Physics
Published: 2009
URI: https://cronfa.swan.ac.uk/Record/cronfa7466
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spelling 2020-07-16T14:32:50.5124696 v2 7466 2012-02-23 Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2012-02-23 SPH We find half-BPS vortex solitons, at both weak and strong coupling, in the N=6 supersymmetric mass deformation of ABJM theory with U(N) x U(N) gauge symmetry and Chern-Simons level k. The strong coupling gravity dual is obtained by performing a Z_k quotient of the N=8 supersymmetric eleven dimensional supergravity background of Lin, Lunin and Maldacena corresponding to the mass deformed M2-brane theory. At weak coupling, the BPS vortices preserving six supersymmetries are found in the Higgs vacuum of the theory where the gauge symmetry is broken to U(1) x U(1). The classical vortex solitons break a colour-flavour locked global symmetry resulting in non-Abelian internal orientational moduli and a CP^1 moduli space of solutions. At strong coupling and large k, upon reduction to type IIA strings, the vortex moduli space and its action are computed by a probe D0-brane in the dual geometry. The mass of the D0-brane matches the classical vortex mass. However, the gravity picture exhibits a six dimensional moduli space of solutions, a section of which can be identified as the CP^1 we find classically, along with a Dirac monopole connection of strength k. It is likely that the extra four dimensions in the moduli space are an artifact of the strong coupling limit and of the supergravity approximation. Journal Article Journal of High Energy Physics 31 10 2009 2009-10-31 10.1088/1126-6708/2009/10/071 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:32:50.5124696 2012-02-23T17:01:56.0000000 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Roberto Auzzi 1 Prem Kumar 0000-0003-0867-4213 2
title Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory
spellingShingle Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory
Prem Kumar
title_short Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory
title_full Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory
title_fullStr Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory
title_full_unstemmed Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory
title_sort Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Roberto Auzzi
Prem Kumar
format Journal article
container_title Journal of High Energy Physics
publishDate 2009
institution Swansea University
doi_str_mv 10.1088/1126-6708/2009/10/071
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
document_store_str 0
active_str 0
description We find half-BPS vortex solitons, at both weak and strong coupling, in the N=6 supersymmetric mass deformation of ABJM theory with U(N) x U(N) gauge symmetry and Chern-Simons level k. The strong coupling gravity dual is obtained by performing a Z_k quotient of the N=8 supersymmetric eleven dimensional supergravity background of Lin, Lunin and Maldacena corresponding to the mass deformed M2-brane theory. At weak coupling, the BPS vortices preserving six supersymmetries are found in the Higgs vacuum of the theory where the gauge symmetry is broken to U(1) x U(1). The classical vortex solitons break a colour-flavour locked global symmetry resulting in non-Abelian internal orientational moduli and a CP^1 moduli space of solutions. At strong coupling and large k, upon reduction to type IIA strings, the vortex moduli space and its action are computed by a probe D0-brane in the dual geometry. The mass of the D0-brane matches the classical vortex mass. However, the gravity picture exhibits a six dimensional moduli space of solutions, a section of which can be identified as the CP^1 we find classically, along with a Dirac monopole connection of strength k. It is likely that the extra four dimensions in the moduli space are an artifact of the strong coupling limit and of the supergravity approximation.
published_date 2009-10-31T03:09:17Z
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score 11.037603

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