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Multi-instanton calculus and the AdS/CFT correspondence in superconformal field theory

Valentin V. Khoze, Stefan Vandoren, Nicholas Dorey, Michael P. Mattis, Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B552", Issue: 1-2, Pages: 88 - 168

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(99)00193-5

Abstract

We present a self-contained study of ADHM multi-instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N=4 supersymmetric multi-instanton action and collective coordinate integration measu...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1999
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URI: https://cronfa.swan.ac.uk/Record/cronfa28564
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spelling 2016-06-03T14:36:43.1522366 v2 28564 2016-06-03 Multi-instanton calculus and the AdS/CFT correspondence in superconformal field theory ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH We present a self-contained study of ADHM multi-instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N=4 supersymmetric multi-instanton action and collective coordinate integration measure. As a central application, we focus on certain n-point functions G_n, n=16, 8 or 4, in N=4 SU(N) gauge theory at the conformal point (as well as on related higher-partial-wave correlators); these are correlators in which the 16 exact supersymmetric and superconformal fermion zero modes are saturated. In the large-N limit, for the first time in any 4-dimensional theory, we are able to evaluate all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of a single copy of AdS_5 x S^5. (2) The integration measure on this space includes the partition function of 10-dimensional N=1 SU(k) gauge theory dimensionally reduced to 0 dimensions, matching the description of D-instantons in Type IIB string theory. (3) In exact agreement with Type IIB string calculations, at the k-instanton level, G_n = \sqrt{N} g^8 k^{n-7/2} e^{2\pi ik\tau} \sum_{d|k} d^{-2} F_n(x_1,...,x_n), where F_n is identical to a convolution of n bulk-to-boundary supergravity Journal Article Nuclear Physics B "B552" 1-2 88 168 05503213 31 1 1999 1999-01-31 10.1016/S0550-3213(99)00193-5 http://inspirehep.net/record/494464 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:43.1522366 2016-06-03T14:36:42.9338352 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Valentin V. Khoze 1 Stefan Vandoren 2 Nicholas Dorey 3 Michael P. Mattis 4 Timothy Hollowood 0000-0002-3258-320X 5
title Multi-instanton calculus and the AdS/CFT correspondence in superconformal field theory
spellingShingle Multi-instanton calculus and the AdS/CFT correspondence in superconformal field theory
Timothy Hollowood
title_short Multi-instanton calculus and the AdS/CFT correspondence in superconformal field theory
title_full Multi-instanton calculus and the AdS/CFT correspondence in superconformal field theory
title_fullStr Multi-instanton calculus and the AdS/CFT correspondence in superconformal field theory
title_full_unstemmed Multi-instanton calculus and the AdS/CFT correspondence in superconformal field theory
title_sort Multi-instanton calculus and the AdS/CFT correspondence in superconformal field theory
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Valentin V. Khoze
Stefan Vandoren
Nicholas Dorey
Michael P. Mattis
Timothy Hollowood
format Journal article
container_title Nuclear Physics B
container_volume "B552"
container_issue 1-2
container_start_page 88
publishDate 1999
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(99)00193-5
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/494464
document_store_str 0
active_str 0
description We present a self-contained study of ADHM multi-instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N=4 supersymmetric multi-instanton action and collective coordinate integration measure. As a central application, we focus on certain n-point functions G_n, n=16, 8 or 4, in N=4 SU(N) gauge theory at the conformal point (as well as on related higher-partial-wave correlators); these are correlators in which the 16 exact supersymmetric and superconformal fermion zero modes are saturated. In the large-N limit, for the first time in any 4-dimensional theory, we are able to evaluate all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of a single copy of AdS_5 x S^5. (2) The integration measure on this space includes the partition function of 10-dimensional N=1 SU(k) gauge theory dimensionally reduced to 0 dimensions, matching the description of D-instantons in Type IIB string theory. (3) In exact agreement with Type IIB string calculations, at the k-instanton level, G_n = \sqrt{N} g^8 k^{n-7/2} e^{2\pi ik\tau} \sum_{d|k} d^{-2} F_n(x_1,...,x_n), where F_n is identical to a convolution of n bulk-to-boundary supergravity
published_date 1999-01-31T03:34:47Z
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score 11.013731

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