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An exact elliptic superpotential for deformations of finite gauge theories

Nick Dorey, Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo

Nuclear Physics B, Volume: 624, Issue: 1-2, Pages: 95 - 145

Swansea University Authors: Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(01)00647-2

Abstract

We study relevant deformations of the N = 2 superconformal theory on the world-volume of N D3 branes at an Ak−1 singularity. In particular, we determine the vacuum structure of the mass-deformed theory with N = 1 supersymmetry and show how the different vacua are permuted by an extended duality symm...

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Published in: Nuclear Physics B
Published: 2002
URI: https://cronfa.swan.ac.uk/Record/cronfa16138
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first_indexed 2013-09-26T11:46:08Z
last_indexed 2020-07-16T18:28:35Z
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spelling 2020-07-16T14:40:56.1113647 v2 16138 2013-09-20 An exact elliptic superpotential for deformations of finite gauge theories ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2013-09-20 SPH We study relevant deformations of the N = 2 superconformal theory on the world-volume of N D3 branes at an Ak−1 singularity. In particular, we determine the vacuum structure of the mass-deformed theory with N = 1 supersymmetry and show how the different vacua are permuted by an extended duality symmetry. We then obtain exact, modular co- variant formulae (for all k, N and arbitrary gauge couplings) for the holomorphic observables in the massive vacua in two different ways: by lifting to M-theory, and by compactification to three dimensions and subsequent use of mirror symmetry. In the latter case, we find an exact superpotential for the model which coincides with a certain combination of the quadratic Hamiltonians of the spin generalization of the elliptic Calogero-Moser integrable system. Journal Article Nuclear Physics B 624 1-2 95 145 31 3 2002 2002-03-31 10.1016/S0550-3213(01)00647-2 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:40:56.1113647 2013-09-20T11:11:09.3961725 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Nick Dorey 1 Timothy Hollowood 0000-0002-3258-320X 2 Prem Kumar 0000-0003-0867-4213 3
title An exact elliptic superpotential for deformations of finite gauge theories
spellingShingle An exact elliptic superpotential for deformations of finite gauge theories
Timothy Hollowood
Prem Kumar
title_short An exact elliptic superpotential for deformations of finite gauge theories
title_full An exact elliptic superpotential for deformations of finite gauge theories
title_fullStr An exact elliptic superpotential for deformations of finite gauge theories
title_full_unstemmed An exact elliptic superpotential for deformations of finite gauge theories
title_sort An exact elliptic superpotential for deformations of finite gauge theories
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Timothy Hollowood
Prem Kumar
author2 Nick Dorey
Timothy Hollowood
Prem Kumar
format Journal article
container_title Nuclear Physics B
container_volume 624
container_issue 1-2
container_start_page 95
publishDate 2002
institution Swansea University
doi_str_mv 10.1016/S0550-3213(01)00647-2
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 study relevant deformations of the N = 2 superconformal theory on the world-volume of N D3 branes at an Ak−1 singularity. In particular, we determine the vacuum structure of the mass-deformed theory with N = 1 supersymmetry and show how the different vacua are permuted by an extended duality symmetry. We then obtain exact, modular co- variant formulae (for all k, N and arbitrary gauge couplings) for the holomorphic observables in the massive vacua in two different ways: by lifting to M-theory, and by compactification to three dimensions and subsequent use of mirror symmetry. In the latter case, we find an exact superpotential for the model which coincides with a certain combination of the quadratic Hamiltonians of the spin generalization of the elliptic Calogero-Moser integrable system.
published_date 2002-03-31T03:18:27Z
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score 11.037056

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