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Testing Seiberg–Witten theory to all orders in the instanton expansion

Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B639", Issue: 1-2, Pages: 66 - 94

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(02)00558-8

Abstract

In the context of softly-broken N=4 to N=2 supersymmetric SU(N) gauge theory, we calculate using semi-classical instanton methods, the lowest order non-trivial terms in the mass expansion of the prepotential for all instanton number. We find exact agreement with Seiberg-Witten theory and thereby ach...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 2002
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URI: https://cronfa.swan.ac.uk/Record/cronfa28543
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first_indexed 2016-06-03T19:16:19Z
last_indexed 2018-02-09T05:12:47Z
id cronfa28543
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spelling 2016-06-03T14:36:26.4445295 v2 28543 2016-06-03 Testing Seiberg–Witten theory to all orders in the instanton expansion ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH In the context of softly-broken N=4 to N=2 supersymmetric SU(N) gauge theory, we calculate using semi-classical instanton methods, the lowest order non-trivial terms in the mass expansion of the prepotential for all instanton number. We find exact agreement with Seiberg-Witten theory and thereby achieve the most powerful test yet of this theory. We also calculate the one- and two-instanton contributions completely and also find consistency with Seiberg-Witten theory. Our approach relies on the fact that the instanton calculus admits a nilpotent fermionic symmetry, or BRST operator, whose existence implies that the integrals over the instanton moduli space, which give the coefficients of the prepotential, localize on the space of resolved point-like instantons or what we call Journal Article Nuclear Physics B "B639" 1-2 66 94 05503213 28 2 2002 2002-02-28 10.1016/S0550-3213(02)00558-8 http://inspirehep.net/record/583509 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:26.4445295 2016-06-03T14:36:26.2105280 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Timothy Hollowood 0000-0002-3258-320X 1
title Testing Seiberg–Witten theory to all orders in the instanton expansion
spellingShingle Testing Seiberg–Witten theory to all orders in the instanton expansion
Timothy Hollowood
title_short Testing Seiberg–Witten theory to all orders in the instanton expansion
title_full Testing Seiberg–Witten theory to all orders in the instanton expansion
title_fullStr Testing Seiberg–Witten theory to all orders in the instanton expansion
title_full_unstemmed Testing Seiberg–Witten theory to all orders in the instanton expansion
title_sort Testing Seiberg–Witten theory to all orders in the instanton expansion
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Timothy Hollowood
format Journal article
container_title Nuclear Physics B
container_volume "B639"
container_issue 1-2
container_start_page 66
publishDate 2002
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(02)00558-8
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/583509
document_store_str 0
active_str 0
description In the context of softly-broken N=4 to N=2 supersymmetric SU(N) gauge theory, we calculate using semi-classical instanton methods, the lowest order non-trivial terms in the mass expansion of the prepotential for all instanton number. We find exact agreement with Seiberg-Witten theory and thereby achieve the most powerful test yet of this theory. We also calculate the one- and two-instanton contributions completely and also find consistency with Seiberg-Witten theory. Our approach relies on the fact that the instanton calculus admits a nilpotent fermionic symmetry, or BRST operator, whose existence implies that the integrals over the instanton moduli space, which give the coefficients of the prepotential, localize on the space of resolved point-like instantons or what we call
published_date 2002-02-28T03:34:45Z
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score 10.997593

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