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Please use this identifier to cite or link to this item: http://hdl.handle.net/10651/25353

Title: On the 5d instanton index as a Hilbert series
Author(s): Rodríguez Gómez, Diego
Zafrir, Gabi
Issue date: 2014
Publisher: Elsevier(SCOAP3)
Publisher version: http://dx.doi.org/10.1016/j.nuclphysb.2013.11.006
Citation: Nuclear Physics B, 878, p. 1-11 (2014); doi:10.1016/j.nuclphysb.2013.11.006
Format extent: p. 1-11
Abstract: The 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
URI: http://hdl.handle.net/10651/25353
ISSN: 0550-3213
Local identifier: 20141214
Sponsored: G.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
Project id.: MEC/MICINN-09-FPA2009-07122
MEC/Ramon y Cajal FellowshipMEC-DGI-CSD2007-00042
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