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Summing the instanton series in Script N = 2 superconformal large-N QCD

Valentin V. Khoze, Michael P. Mattis, Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "10", Issue: 10, Pages: 019 - 019

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1088/1126-6708/1999/10/019

Abstract

We consider the multi-instanton collective coordinate integration measure in N=2 supersymmetric SU(N) gauge theory with N_F fundamental hypermultiplets. In the large-N limit, at the superconformal point where N_F=2N and all VEVs are turned off, the k-instanton moduli space collapses to a single copy...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 1999
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URI: https://cronfa.swan.ac.uk/Record/cronfa28560
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last_indexed 2018-02-09T05:12:49Z
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spelling 2016-06-03T14:36:39.7982151 v2 28560 2016-06-03 Summing the instanton series in Script N = 2 superconformal large-N QCD ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH We consider the multi-instanton collective coordinate integration measure in N=2 supersymmetric SU(N) gauge theory with N_F fundamental hypermultiplets. In the large-N limit, at the superconformal point where N_F=2N and all VEVs are turned off, the k-instanton moduli space collapses to a single copy of AdS_5*S^1. The resulting k-instanton effective measure is proportional to N^{1/2} g^4 Z_k^(6), where Z_k^(6) is the partition function of N=(1,0) SYM theory in six dimensions reduced to zero dimensions. The multi-instanton can in fact be summed in closed form. As a hint of an AdS/CFT duality, with the usual relation between the gauge theory and string theory parameters, this precisely matches the normalization of the charge-k D-instanton measure in type IIB string theory compactified to six dimensions on K3 with a vanishing Journal Article Journal of High Energy Physics "10" 10 019 019 1029-8479 31 5 1999 1999-05-31 10.1088/1126-6708/1999/10/019 http://inspirehep.net/record/500737 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:39.7982151 2016-06-03T14:36:39.6110139 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Valentin V. Khoze 1 Michael P. Mattis 2 Timothy Hollowood 0000-0002-3258-320X 3
title Summing the instanton series in Script N = 2 superconformal large-N QCD
spellingShingle Summing the instanton series in Script N = 2 superconformal large-N QCD
Timothy Hollowood
title_short Summing the instanton series in Script N = 2 superconformal large-N QCD
title_full Summing the instanton series in Script N = 2 superconformal large-N QCD
title_fullStr Summing the instanton series in Script N = 2 superconformal large-N QCD
title_full_unstemmed Summing the instanton series in Script N = 2 superconformal large-N QCD
title_sort Summing the instanton series in Script N = 2 superconformal large-N QCD
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Valentin V. Khoze
Michael P. Mattis
Timothy Hollowood
format Journal article
container_title Journal of High Energy Physics
container_volume "10"
container_issue 10
container_start_page 019
publishDate 1999
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/1999/10/019
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/500737
document_store_str 0
active_str 0
description We consider the multi-instanton collective coordinate integration measure in N=2 supersymmetric SU(N) gauge theory with N_F fundamental hypermultiplets. In the large-N limit, at the superconformal point where N_F=2N and all VEVs are turned off, the k-instanton moduli space collapses to a single copy of AdS_5*S^1. The resulting k-instanton effective measure is proportional to N^{1/2} g^4 Z_k^(6), where Z_k^(6) is the partition function of N=(1,0) SYM theory in six dimensions reduced to zero dimensions. The multi-instanton can in fact be summed in closed form. As a hint of an AdS/CFT duality, with the usual relation between the gauge theory and string theory parameters, this precisely matches the normalization of the charge-k D-instanton measure in type IIB string theory compactified to six dimensions on K3 with a vanishing
published_date 1999-05-31T03:34:47Z
_version_ 1763751480109563904
score 11.037056

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