Liouville Correlation Functions from Four-dimensional Gauge Theories
TLDR
In this paper, the authors conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of SCFTs recently defined by one of the authors.Abstract:
We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of \({\mathcal{N}=2}\) SCFTs recently defined by one of the authors. We conduct extensive tests of the conjecture at genus 0, 1.read more
Citations
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Proceedings ArticleDOI
Quantization of Integrable Systems and Four Dimensional Gauge Theories
TL;DR: In this paper, the authors studied four dimensional N=2 supersymmetric gauge theory in the Omega-background with the two dimensional N = 2 super-Poincare invariance and explained how this gauge theory provided the quantization of the classical integrable system underlying the moduli space of vacua of the ordinary four-dimensional N =2 theory, and showed the thermodynamic-Betheansatz like formulae for these functions and for the spectra of commuting Hamiltonians following the direct computation in gauge theory.
Book
Progress in Mathematics
TL;DR: In this article, the inner form of a general linear group over a non-archimedean local field is shown to preserve the depths of essentially tame Langlands parameters, and it is shown that the local Langlands correspondence for G preserves depths.
Journal ArticleDOI
A(N-1) conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories
TL;DR: In this paper, a relation between correlation functions in the 2d A(N-1) conformal Toda theories and the Nekrasov instanton partition functions in certain conformal N = 2 SU(N) 4d quiver theories was proposed.
Journal ArticleDOI
SUSY gauge theories on squashed three-spheres
TL;DR: In this paper, the Lagrangian and supersymmetry rules for general supersymmetric gauge theories on squashed three-spheres preserving isometries were presented, and the partition functions are computed using localization principle, and are expressed as integrals over Coulomb branch.
Journal ArticleDOI
Infinite Chiral Symmetry in Four Dimensions
Christopher Beem,Christopher Beem,Madalena Lemos,Pedro Liendo,Pedro Liendo,Wolfger Peelaers,Leonardo Rastelli,Leonardo Rastelli,Balt C. van Rees,Balt C. van Rees +9 more
TL;DR: In this article, a new correspondence between four-dimensional conformal field theories with extended supersymmetry and two-dimensional chiral algebras was described, where the meromorphic correlators of the chiral algebra compute correlators in a protected sector of the fourdimensional theory.
References
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TL;DR: In this paper, the authors present an investigation of the massless, two-dimentional, interacting field theories and their invariance under an infinite-dimensional group of conformal transformations.
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Conformal Field Theory
TL;DR: This paper developed conformal field theory from first principles and provided a self-contained, pedagogical, and exhaustive treatment, including a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algesas.
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Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD
TL;DR: In this article, the authors studied four dimensional N = 2 supersymmetric gauge theories with matter multiplets and derived the exact metric on the moduli space of quantum vacua and the exact spectrum of the stable massive states.
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Seiberg-Witten Prepotential from Instanton Counting
TL;DR: In this article, a two-parameter generalization of the Seiberg-Witten prepotential is presented, which is rather natural from the M-theory/five dimensional perspective, and conjecture its relation to the tau-functions of KP/Toda hierarchy.
Journal ArticleDOI
Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops
TL;DR: In this article, the authors proved conjecture due to Erickson-Semenoff-Zarembo and Drukker-Gross which relates supersymmetric circular Wilson loop operators with a Gaussian matrix model.