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Calculating the prepotential by localization on the moduli space of instantons

Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "03", Issue: 03, Pages: 038 - 038

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2002/03/038

Abstract

We describe a new technique for calculating instanton effects in supersymmetric gauge theories applicable on the Higgs or Coulomb branches. In these situations the instantons are constrained and a potential is generated on the instanton moduli space. Due to existence of a nilpotent fermionic symmetr...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2002
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URI: https://cronfa.swan.ac.uk/Record/cronfa28544
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first_indexed 2016-06-03T19:16:20Z
last_indexed 2018-02-09T05:12:47Z
id cronfa28544
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spelling 2016-06-03T14:36:27.1621341 v2 28544 2016-06-03 Calculating the prepotential by localization on the moduli space of instantons ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH We describe a new technique for calculating instanton effects in supersymmetric gauge theories applicable on the Higgs or Coulomb branches. In these situations the instantons are constrained and a potential is generated on the instanton moduli space. Due to existence of a nilpotent fermionic symmetry the resulting integral over the instanton moduli space localizes on the critical points of the potential. Using this technology we calculate the one- and two-instanton contributions to the prepotential of SU(N) gauge theory with N=2 supersymmetry and show how the localization approach yields the prediction extracted from the Seiberg-Witten curve. The technique appears to extend to arbitrary instanton number in a tractable Journal Article Journal of High Energy Physics "03" 03 038 038 1029-8479 31 1 2002 2002-01-31 10.1088/1126-6708/2002/03/038 http://inspirehep.net/record/581719 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:27.1621341 2016-06-03T14:36:26.9281326 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Timothy Hollowood 0000-0002-3258-320X 1
title Calculating the prepotential by localization on the moduli space of instantons
spellingShingle Calculating the prepotential by localization on the moduli space of instantons
Timothy Hollowood
title_short Calculating the prepotential by localization on the moduli space of instantons
title_full Calculating the prepotential by localization on the moduli space of instantons
title_fullStr Calculating the prepotential by localization on the moduli space of instantons
title_full_unstemmed Calculating the prepotential by localization on the moduli space of instantons
title_sort Calculating the prepotential by localization on the moduli space of instantons
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Timothy Hollowood
format Journal article
container_title Journal of High Energy Physics
container_volume "03"
container_issue 03
container_start_page 038
publishDate 2002
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2002/03/038
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/581719
document_store_str 0
active_str 0
description We describe a new technique for calculating instanton effects in supersymmetric gauge theories applicable on the Higgs or Coulomb branches. In these situations the instantons are constrained and a potential is generated on the instanton moduli space. Due to existence of a nilpotent fermionic symmetry the resulting integral over the instanton moduli space localizes on the critical points of the potential. Using this technology we calculate the one- and two-instanton contributions to the prepotential of SU(N) gauge theory with N=2 supersymmetry and show how the localization approach yields the prediction extracted from the Seiberg-Witten curve. The technique appears to extend to arbitrary instanton number in a tractable
published_date 2002-01-31T03:34:45Z
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score 11.014358

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