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Multi-instantons and Maldacena's conjecture

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

Journal of High Energy Physics, Volume: "06", Issue: 06, Pages: 023 - 023

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1088/1126-6708/1999/06/023

Abstract

We examine certain n-point functions G_n in {\cal N}=4 supersymmetric SU(N) gauge theory at the conformal point. In the large-N limit, we are able to sum all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 1998
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URI: https://cronfa.swan.ac.uk/Record/cronfa28565
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first_indexed 2016-06-03T19:16:24Z
last_indexed 2018-02-09T05:12:50Z
id cronfa28565
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spelling 2016-06-03T14:36:44.3846445 v2 28565 2016-06-03 Multi-instantons and Maldacena's conjecture ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH We examine certain n-point functions G_n in {\cal N}=4 supersymmetric SU(N) gauge theory at the conformal point. In the large-N limit, we are able to sum 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 AdS_5 x S^5. (2) In exact agreement with type IIB superstring calculations, at the k-instanton level, $G_n = \sqrt{N} g^8 k^{n-7/2} e^{-8\pi^2 k/g^2}\sum_{d|k} d^{-2} \times F_n(x_1,...,x_n)$, where F_n is identical to a convolution of n bulk-to-boundary SUGRA Journal Article Journal of High Energy Physics "06" 06 023 023 1029-8479 31 10 1998 1998-10-31 10.1088/1126-6708/1999/06/023 http://inspirehep.net/record/478620 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:44.3846445 2016-06-03T14:36:44.1506430 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-instantons and Maldacena's conjecture
spellingShingle Multi-instantons and Maldacena's conjecture
Timothy Hollowood
title_short Multi-instantons and Maldacena's conjecture
title_full Multi-instantons and Maldacena's conjecture
title_fullStr Multi-instantons and Maldacena's conjecture
title_full_unstemmed Multi-instantons and Maldacena's conjecture
title_sort Multi-instantons and Maldacena's conjecture
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 Journal of High Energy Physics
container_volume "06"
container_issue 06
container_start_page 023
publishDate 1998
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/1999/06/023
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/478620
document_store_str 0
active_str 0
description We examine certain n-point functions G_n in {\cal N}=4 supersymmetric SU(N) gauge theory at the conformal point. In the large-N limit, we are able to sum 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 AdS_5 x S^5. (2) In exact agreement with type IIB superstring calculations, at the k-instanton level, $G_n = \sqrt{N} g^8 k^{n-7/2} e^{-8\pi^2 k/g^2}\sum_{d|k} d^{-2} \times F_n(x_1,...,x_n)$, where F_n is identical to a convolution of n bulk-to-boundary SUGRA
published_date 1998-10-31T03:34:47Z
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score 11.036706

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