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On the 5d instanton index as a Hilbert series

dc.contributor.authorRodríguez Gómez, Diego 
dc.contributor.authorZafrir, Gabi
dc.date.accessioned2014-04-04T08:15:02Z
dc.date.available2014-04-04T08:15:02Z
dc.date.issued2014
dc.identifier.citationNuclear Physics B, 878, p. 1-11 (2014); doi:10.1016/j.nuclphysb.2013.11.006
dc.identifier.issn0550-3213
dc.identifier.issn1873-1562
dc.identifier.urihttp://hdl.handle.net/10651/25353
dc.description.abstractThe superconformal index for N=2 5d theories contains a non-perturbative part arising from 5d instantonic operators which coincides with the Nekrasov instanton partition function. In this article, for pure gauge theories, we elaborate on the relation between such instanton index and the Hilbert series of the instanton moduli space. We propose a non-trivial identification of fugacities allowing the computation of the instanton index through the Hilbert series. We show the agreement of our proposal with existing results in the literature, as well as use it to compute the exact index for a pure U(1) gauge theory
dc.description.sponsorshipG.Z. is supported in part by the Israel Science Foundation under grant no. 392/09, and the US–Israel Binational Science Foundation under grant no. 2008-072. D.R.G. is partially supported by the research grants MICINN-09-FPA2009-07122 and the Ramon y Cajal FellowshipMEC-DGI-CSD2007-00042
dc.format.extentp. 1-11
dc.language.isoeng
dc.publisherElsevier(SCOAP3)
dc.relation.ispartofNuclear Physics B, 878
dc.rights© 2013 Diego Rodríguez Gómez et al.
dc.rightsCC Reconocimiento - No comercial - Sin obras derivadas 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleOn the 5d instanton index as a Hilbert series
dc.typeinfo:eu-repo/semantics/article
dc.identifier.local20141214
dc.identifier.doi10.1016/j.nuclphysb.2013.11.006
dc.type.dcmitext
dc.relation.projectIDMEC/MICINN-09-FPA2009-07122
dc.relation.projectIDMEC/Ramon y Cajal FellowshipMEC-DGI-CSD2007-00042
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.nuclphysb.2013.11.006


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