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ADHM and D-instantons in orbifold AdS/CFT duality

Valentin V. Khoze, Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B575", Issue: 1-2, Pages: 78 - 106

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(00)00086-9

Abstract

We consider ADHM instantons in product group gauge theories that arise from D3-branes located at points in the orbifold R^6/Z_p. At finite N we argue that the ADHM construction and collective coordinate integration measure can be deduced from the dynamics of D-instantons in the D3-brane background....

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1999
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URI: https://cronfa.swan.ac.uk/Record/cronfa28559
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last_indexed 2018-02-09T05:12:49Z
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spelling 2016-06-03T14:36:39.1118107 v2 28559 2016-06-03 ADHM and D-instantons in orbifold AdS/CFT duality ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH We consider ADHM instantons in product group gauge theories that arise from D3-branes located at points in the orbifold R^6/Z_p. At finite N we argue that the ADHM construction and collective coordinate integration measure can be deduced from the dynamics of D-instantons in the D3-brane background. For the large-N conformal field theories of this type, we compute a saddle-point approximation of the ADHM integration measure and show that it is proportional to the partition function of D-instantons in the dual AdS_5 x S^5/Z_p background, in agreement with the orbifold AdS/CFT correspondence. Matching the expected behaviour of D-instantons, we find that when S^5/Z_p is smooth a saddle-point solution only exists in the sector where the instanton charges in each gauge group factor are the same. However, when S^5/Z_p is singular, the instanton charges at large N need not be the same and the space of saddle-point solutions has a number of distinct branches which represent the possible fractionations of D-instantons at the singularity. For the theories with a type 0B dual the saddle-point solutions manifest two types of Journal Article Nuclear Physics B "B575" 1-2 78 106 05503213 31 8 1999 1999-08-31 10.1016/S0550-3213(00)00086-9 http://inspirehep.net/record/505087 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:39.1118107 2016-06-03T14:36:38.8778092 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Valentin V. Khoze 1 Timothy Hollowood 0000-0002-3258-320X 2
title ADHM and D-instantons in orbifold AdS/CFT duality
spellingShingle ADHM and D-instantons in orbifold AdS/CFT duality
Timothy Hollowood
title_short ADHM and D-instantons in orbifold AdS/CFT duality
title_full ADHM and D-instantons in orbifold AdS/CFT duality
title_fullStr ADHM and D-instantons in orbifold AdS/CFT duality
title_full_unstemmed ADHM and D-instantons in orbifold AdS/CFT duality
title_sort ADHM and D-instantons in orbifold AdS/CFT duality
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Valentin V. Khoze
Timothy Hollowood
format Journal article
container_title Nuclear Physics B
container_volume "B575"
container_issue 1-2
container_start_page 78
publishDate 1999
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(00)00086-9
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/505087
document_store_str 0
active_str 0
description We consider ADHM instantons in product group gauge theories that arise from D3-branes located at points in the orbifold R^6/Z_p. At finite N we argue that the ADHM construction and collective coordinate integration measure can be deduced from the dynamics of D-instantons in the D3-brane background. For the large-N conformal field theories of this type, we compute a saddle-point approximation of the ADHM integration measure and show that it is proportional to the partition function of D-instantons in the dual AdS_5 x S^5/Z_p background, in agreement with the orbifold AdS/CFT correspondence. Matching the expected behaviour of D-instantons, we find that when S^5/Z_p is smooth a saddle-point solution only exists in the sector where the instanton charges in each gauge group factor are the same. However, when S^5/Z_p is singular, the instanton charges at large N need not be the same and the space of saddle-point solutions has a number of distinct branches which represent the possible fractionations of D-instantons at the singularity. For the theories with a type 0B dual the saddle-point solutions manifest two types of
published_date 1999-08-31T03:34:46Z
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score 11.013731

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