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ADHM and D-instantons in orbifold AdS/CFT duality
Nuclear Physics B, Volume: "B575", Issue: 1-2, Pages: 78 - 106
Swansea University Author:
Timothy Hollowood
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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....
Published in: | Nuclear Physics B |
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ISSN: | 05503213 |
Published: |
1999
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URI: | https://cronfa.swan.ac.uk/Record/cronfa28559 |
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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 |
_version_ |
1763751479986880512 |
score |
11.021648 |