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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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DOI

10.1016/j.asieco.2005.02.001

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1029-8479

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The stringy instanton partition function

Authors: Giulio Bonelli Antonio Sciarappa Alessandro Tanzini Petr Vasko
Publish Date: 2014/01/09
Volume: 2014, Issue: 1, Pages: 38-
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Abstract

We perform an exact computation of the gauged linear sigma model associated to a D1D5 brane system on a resolved A 1 singularity This is accomplished via supersymmetric localization on the blownup twosphere We show that in the blowdown limit mathbbC2 left/ mathbbZ 2 right the partition function reduces to the Nekrasov partition function evaluating the equivariant volume of the instanton moduli space For finite radius we obtain a tower of worldsheet instanton corrections that we identify with the equivariant GromovWitten invariants of the ADHM moduli space We show that these corrections can be encoded in a deformation of the SeibergWitten prepotential From the mathematical viewpoint the D1D5 system under study displays a twofold nature the D1branes viewpoint captures the equivariant quantum cohomology of the ADHM instanton moduli space in the Givental formalism and the D5branes viewpoint is related to higher rank equivariant DonaldsonThomas invariants of mathbbP1times mathbbC2 This article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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