No Cover Image

Journal article 882 views

Matrix models, geometric engineering and elliptic genera

Cumrun Vafa, Amer Iqbal, Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "03", Issue: 03, Pages: 069 - 069

Swansea University Author: Timothy Hollowood Orcid Logo

Full text not available from this repository: check for access using links below.

Check full text

DOI (Published version): 10.1088/1126-6708/2008/03/069

Abstract

We compute the prepotential of N=2 supersymmetric gauge theories in four dimensions obtained by toroidal compactifications of gauge theories from 6 dimensions, as a function of Kahler and complex moduli of T^2. We use three different methods to obtain this: matrix models, geometric engineering and i...

Full description

Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2003
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28535
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2016-06-03T19:16:16Z
last_indexed 2018-02-09T05:12:46Z
id cronfa28535
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2016-06-03T14:36:20.2044895</datestamp><bib-version>v2</bib-version><id>28535</id><entry>2016-06-03</entry><title>Matrix models, geometric engineering and elliptic genera</title><swanseaauthors><author><sid>ea9ca59fc948276ff2ab547e91bdf0c2</sid><ORCID>0000-0002-3258-320X</ORCID><firstname>Timothy</firstname><surname>Hollowood</surname><name>Timothy Hollowood</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2016-06-03</date><deptcode>SPH</deptcode><abstract>We compute the prepotential of N=2 supersymmetric gauge theories in four dimensions obtained by toroidal compactifications of gauge theories from 6 dimensions, as a function of Kahler and complex moduli of T^2. We use three different methods to obtain this: matrix models, geometric engineering and instanton calculus. Matrix model approach involves summing up planar diagrams of an associated gauge theory on T^2. Geometric engineering involves considering F-theory on elliptic threefolds, and using topological vertex to sum up worldsheet instantons. Instanton calculus involves computation of elliptic genera of instanton moduli spaces on R^4. We study the compactifications of N=2* theory in detail and establish equivalence of all these three approaches in this case. As a byproduct we geometrically engineer theories with massive adjoint fields. As one application, we show that the moduli space of mass deformed M5-branes wrapped on T^2 combines the Kahler and complex moduli of T^2 and the mass parameter into the period matrix of a genus 2</abstract><type>Journal Article</type><journal>Journal of High Energy Physics</journal><volume>"03"</volume><journalNumber>03</journalNumber><paginationStart>069</paginationStart><paginationEnd>069</paginationEnd><publisher/><issnElectronic>1029-8479</issnElectronic><keywords/><publishedDay>31</publishedDay><publishedMonth>10</publishedMonth><publishedYear>2003</publishedYear><publishedDate>2003-10-31</publishedDate><doi>10.1088/1126-6708/2008/03/069</doi><url>http://inspirehep.net/record/631796</url><notes/><college>COLLEGE NANME</college><department>Physics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SPH</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2016-06-03T14:36:20.2044895</lastEdited><Created>2016-06-03T14:36:20.0172883</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Cumrun</firstname><surname>Vafa</surname><order>1</order></author><author><firstname>Amer</firstname><surname>Iqbal</surname><order>2</order></author><author><firstname>Timothy</firstname><surname>Hollowood</surname><orcid>0000-0002-3258-320X</orcid><order>3</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2016-06-03T14:36:20.2044895 v2 28535 2016-06-03 Matrix models, geometric engineering and elliptic genera ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH We compute the prepotential of N=2 supersymmetric gauge theories in four dimensions obtained by toroidal compactifications of gauge theories from 6 dimensions, as a function of Kahler and complex moduli of T^2. We use three different methods to obtain this: matrix models, geometric engineering and instanton calculus. Matrix model approach involves summing up planar diagrams of an associated gauge theory on T^2. Geometric engineering involves considering F-theory on elliptic threefolds, and using topological vertex to sum up worldsheet instantons. Instanton calculus involves computation of elliptic genera of instanton moduli spaces on R^4. We study the compactifications of N=2* theory in detail and establish equivalence of all these three approaches in this case. As a byproduct we geometrically engineer theories with massive adjoint fields. As one application, we show that the moduli space of mass deformed M5-branes wrapped on T^2 combines the Kahler and complex moduli of T^2 and the mass parameter into the period matrix of a genus 2 Journal Article Journal of High Energy Physics "03" 03 069 069 1029-8479 31 10 2003 2003-10-31 10.1088/1126-6708/2008/03/069 http://inspirehep.net/record/631796 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:20.2044895 2016-06-03T14:36:20.0172883 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Cumrun Vafa 1 Amer Iqbal 2 Timothy Hollowood 0000-0002-3258-320X 3
title Matrix models, geometric engineering and elliptic genera
spellingShingle Matrix models, geometric engineering and elliptic genera
Timothy Hollowood
title_short Matrix models, geometric engineering and elliptic genera
title_full Matrix models, geometric engineering and elliptic genera
title_fullStr Matrix models, geometric engineering and elliptic genera
title_full_unstemmed Matrix models, geometric engineering and elliptic genera
title_sort Matrix models, geometric engineering and elliptic genera
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Cumrun Vafa
Amer Iqbal
Timothy Hollowood
format Journal article
container_title Journal of High Energy Physics
container_volume "03"
container_issue 03
container_start_page 069
publishDate 2003
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2008/03/069
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/631796
document_store_str 0
active_str 0
description We compute the prepotential of N=2 supersymmetric gauge theories in four dimensions obtained by toroidal compactifications of gauge theories from 6 dimensions, as a function of Kahler and complex moduli of T^2. We use three different methods to obtain this: matrix models, geometric engineering and instanton calculus. Matrix model approach involves summing up planar diagrams of an associated gauge theory on T^2. Geometric engineering involves considering F-theory on elliptic threefolds, and using topological vertex to sum up worldsheet instantons. Instanton calculus involves computation of elliptic genera of instanton moduli spaces on R^4. We study the compactifications of N=2* theory in detail and establish equivalence of all these three approaches in this case. As a byproduct we geometrically engineer theories with massive adjoint fields. As one application, we show that the moduli space of mass deformed M5-branes wrapped on T^2 combines the Kahler and complex moduli of T^2 and the mass parameter into the period matrix of a genus 2
published_date 2003-10-31T03:34:44Z
_version_ 1763751477563621376
score 11.036706

Similar Items