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3D-partition functions on the sphere: exact evaluation and mirror symmetry

Benvenuti, S and Pasquetti, S (2012) 3D-partition functions on the sphere: exact evaluation and mirror symmetry J HIGH ENERGY PHYS.

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Abstract

We study N = 4 quiver theories on the three-sphere. We compute partition functions using the localisation method by Kapustin et al. solving exactly the matrix integrals at finite N, as functions of mass and Fayet-Iliopoulos parameters. We find a simple explicit formula for the partition function of the quiver tail T(SU(N)). This formula opens the way for the analysis of star-shaped quivers and their mirrors (that are the Gaiotto-type theories arising from M5 branes on punctured Riemann surfaces). We provide non-perturbative checks of mirror symmetry for infinite classes of theories and find the partition functions of the TN theory, the building block of generalised quiver theories.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Benvenuti, SUNSPECIFIEDUNSPECIFIED
Pasquetti, SUNSPECIFIEDUNSPECIFIED
Date : 22 May 2012
Related URLs :
Additional Information : © (year). Published with a Creative Commons 4.0 Licence. The published version can be found here: http://dx.doi.org/10.1007/JHEP05(2012)099
Depositing User : Symplectic Elements
Date Deposited : 22 Jan 2016 12:39
Last Modified : 22 Jan 2016 12:39
URI: http://epubs.surrey.ac.uk/id/eprint/809365

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