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Article: S-duality in Vafa-Witten theory for non-simply laced gauge groups

TitleS-duality in Vafa-Witten theory for non-simply laced gauge groups
Authors
KeywordsDifferential and algebraic geometry
Duality in gauge field theories
Supersymmetric gauge theory
Topological field theories
Issue Date2008
PublisherInstitute of Physics Publishing. The Journal's web site is located at http://www.iop.org/journals/jhep
Citation
Journal Of High Energy Physics, 2008, v. 2008 n. 5, article no. 009 How to Cite?
AbstractVafa-Witten theory is a twisted script N sign = 4 supersymmetric gauge theory whose partition functions are the generating functions of the Euler number of instanton moduli spaces. In this paper, we recall quantum gauge theory with discrete electric and magnetic fluxes and review the main results of Vafa-Witten theory when the gauge group is simply laced. Based on the transformations of theta functions and their appearance in the blow-up formulae, we propose explicit transformations of the partition functions under the Hecke group when the gauge group is non-simply laced. We provide various evidences and consistency checks.
Persistent Identifierhttp://hdl.handle.net/10722/75199
ISSN
2012 Impact Factor: 5.618
2015 SCImago Journal Rankings: 1.052
References

 

DC FieldValueLanguage
dc.contributor.authorWu, Sen_HK
dc.date.accessioned2010-09-06T07:08:53Z-
dc.date.available2010-09-06T07:08:53Z-
dc.date.issued2008en_HK
dc.identifier.citationJournal Of High Energy Physics, 2008, v. 2008 n. 5, article no. 009en_HK
dc.identifier.issn1126-6708en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75199-
dc.description.abstractVafa-Witten theory is a twisted script N sign = 4 supersymmetric gauge theory whose partition functions are the generating functions of the Euler number of instanton moduli spaces. In this paper, we recall quantum gauge theory with discrete electric and magnetic fluxes and review the main results of Vafa-Witten theory when the gauge group is simply laced. Based on the transformations of theta functions and their appearance in the blow-up formulae, we propose explicit transformations of the partition functions under the Hecke group when the gauge group is non-simply laced. We provide various evidences and consistency checks.en_HK
dc.languageengen_HK
dc.publisherInstitute of Physics Publishing. The Journal's web site is located at http://www.iop.org/journals/jhepen_HK
dc.relation.ispartofJournal of High Energy Physicsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectDifferential and algebraic geometryen_HK
dc.subjectDuality in gauge field theoriesen_HK
dc.subjectSupersymmetric gauge theoryen_HK
dc.subjectTopological field theoriesen_HK
dc.titleS-duality in Vafa-Witten theory for non-simply laced gauge groupsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1126-6708&volume=05 &issue=2008&spage=17 pages&epage=&date=2008&atitle=S-duality+in+Vafa-Witten+theory+for+non-simply+laced+gauge+groupsen_HK
dc.identifier.emailWu, S:swu@maths.hku.hken_HK
dc.identifier.authorityWu, S=rp00814en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1088/1126-6708/2008/05/009en_HK
dc.identifier.scopuseid_2-s2.0-47249085628en_HK
dc.identifier.hkuros141756en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-47249085628&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume2008en_HK
dc.identifier.issue5en_HK
dc.identifier.spagearticle no. 009-
dc.identifier.epagearticle no. 009-
dc.identifier.eissn1029-8479-
dc.publisher.placeItalyen_HK
dc.identifier.scopusauthoridWu, S=15830510400en_HK
dc.identifier.citeulike2763094-

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