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The D-instanton partition function

Valentin V. Khoze, Nick Dorey, Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "03", Issue: 03, Pages: 040 - 040

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2001/03/040

Abstract

The D-instanton partition function is a fascinating quantity because in the presence of N D3-branes, and in a certain decoupling limit, it reduces to the functional integral of N=4 U(N) supersymmetric gauge theory for multi-instanton solutions. We study this quantity as a function of non-commutativi...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2000
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URI: https://cronfa.swan.ac.uk/Record/cronfa28548
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spelling 2016-06-03T14:36:30.4693553 v2 28548 2016-06-03 The D-instanton partition function ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH The D-instanton partition function is a fascinating quantity because in the presence of N D3-branes, and in a certain decoupling limit, it reduces to the functional integral of N=4 U(N) supersymmetric gauge theory for multi-instanton solutions. We study this quantity as a function of non-commutativity in the D3-brane theory, VEVs corresponding to separating the D3-branes and alpha'. Explicit calculations are presented in the one-instanton sector with arbitrary N, and in the large-N limit for all instanton charge. We find that for general instanton charge, the matrix theory admits a nilpotent fermionic symmetry and that the action is Q-exact. Consequently the partition function localizes on the minima of the matrix theory action. This allows us to prove some general properties of these integrals. In the non-commutative theory, the contributions come from the ``Higgs Branch'' and are equal to the Gauss-Bonnet-Chern integral of the resolved instanton moduli space. Separating the D3-branes leads to additional localizations on products of abelian instanton moduli spaces. In the commutative theory, there are additional contributions from the ``Coulomb Branch'' associated to the small instanton singularities of the instanton moduli space. We also argue that both non-commutativity and alpha'-corrections play a similar role in suppressing the contributions from these singularities. Finally we elucidate the relation between the partition function and the Euler characteristic of the instanton moduli Journal Article Journal of High Energy Physics "03" 03 040 040 1029-8479 30 11 2000 2000-11-30 10.1088/1126-6708/2001/03/040 http://inspirehep.net/record/537538 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:30.4693553 2016-06-03T14:36:30.2353538 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Valentin V. Khoze 1 Nick Dorey 2 Timothy Hollowood 0000-0002-3258-320X 3
title The D-instanton partition function
spellingShingle The D-instanton partition function
Timothy Hollowood
title_short The D-instanton partition function
title_full The D-instanton partition function
title_fullStr The D-instanton partition function
title_full_unstemmed The D-instanton partition function
title_sort The D-instanton partition function
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Valentin V. Khoze
Nick Dorey
Timothy Hollowood
format Journal article
container_title Journal of High Energy Physics
container_volume "03"
container_issue 03
container_start_page 040
publishDate 2000
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2001/03/040
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/537538
document_store_str 0
active_str 0
description The D-instanton partition function is a fascinating quantity because in the presence of N D3-branes, and in a certain decoupling limit, it reduces to the functional integral of N=4 U(N) supersymmetric gauge theory for multi-instanton solutions. We study this quantity as a function of non-commutativity in the D3-brane theory, VEVs corresponding to separating the D3-branes and alpha'. Explicit calculations are presented in the one-instanton sector with arbitrary N, and in the large-N limit for all instanton charge. We find that for general instanton charge, the matrix theory admits a nilpotent fermionic symmetry and that the action is Q-exact. Consequently the partition function localizes on the minima of the matrix theory action. This allows us to prove some general properties of these integrals. In the non-commutative theory, the contributions come from the ``Higgs Branch'' and are equal to the Gauss-Bonnet-Chern integral of the resolved instanton moduli space. Separating the D3-branes leads to additional localizations on products of abelian instanton moduli spaces. In the commutative theory, there are additional contributions from the ``Coulomb Branch'' associated to the small instanton singularities of the instanton moduli space. We also argue that both non-commutativity and alpha'-corrections play a similar role in suppressing the contributions from these singularities. Finally we elucidate the relation between the partition function and the Euler characteristic of the instanton moduli
published_date 2000-11-30T03:34:45Z
_version_ 1763751478649946112
score 11.036706

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