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. © 2012 SISSA

Benvenuti, S., & Pasquetti, S. (2012). 3D-partition functions on the sphere: Exact evaluation and mirror symmetry. JOURNAL OF HIGH ENERGY PHYSICS, 2012(5) [10.1007/JHEP05(2012)099].

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

PASQUETTI, SARA
Ultimo
2012

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. © 2012 SISSA
Articolo in rivista - Articolo scientifico
Duality in gauge field theories; Supersymmetry and duality; Nuclear and High Energy Physics
English
Benvenuti, S., & Pasquetti, S. (2012). 3D-partition functions on the sphere: Exact evaluation and mirror symmetry. JOURNAL OF HIGH ENERGY PHYSICS, 2012(5) [10.1007/JHEP05(2012)099].
Benvenuti, S; Pasquetti, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/145680
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