N=2 dualities
TLDR
In this article, the generalization of S-duality and Argyres-Seiberg duality for a large class of superconformal quiver gauge theories is studied.Abstract:
We study the generalization of S-duality and Argyres-Seiberg duality for a large class of N = 2 superconformal gauge theories. We identify a family of strongly interacting SCFTs and use them as building blocks for generalized superconformal quiver gauge theories. This setup provides a detailed description of the “very strongly coupled” regions in the moduli space of more familiar gauge theories. As a byproduct, we provide a purely four dimensional construction of N = 2 theories defined by wrapping M5 branes over a Riemann surface.read more
Citations
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Liouville Correlation Functions from Four-dimensional Gauge Theories
TL;DR: 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.
Posted Content
Wall-crossing, Hitchin Systems, and the WKB Approximation
TL;DR: In this article, the authors considered BPS states in a large class of d=4, N=2 field theories, obtained by reducing six-dimensional (2,0) superconformal field theories on Riemann surfaces, with defect operators inserted at points of the RiemANN surface.
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.
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
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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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.
Journal ArticleDOI
Solutions of four-dimensional field theories via m-theory
TL;DR: In this paper, the Coulomb branch of a large family of four-dimensional N = 2 field theories with zero or negative beta function is studied, and explicit solutions for Coulomb branches are given.
Journal ArticleDOI
Bubbling AdS space and 1/2 BPS geometries
TL;DR: In this article, all 1/2 BPS excitations of AdS × S configurations in both type-IIB string theory and M-theory are considered and a large class of explicit solutions are presented.
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Wall-crossing, Hitchin Systems, and the WKB Approximation
TL;DR: In this article, the authors considered BPS states in a large class of d=4, N=2 field theories, obtained by reducing six-dimensional (2,0) superconformal field theories on Riemann surfaces, with defect operators inserted at points of the RiemANN surface.
Journal ArticleDOI
S-duality of boundary conditions in N=4 super Yang-Mills theory
Davide Gaiotto,Edward Witten +1 more
TL;DR: In this paper, the S-duality of boundary conditions is closely related to mirror symmetry of three-dimensional gauge theories, and the IR behavior of large classes of quiver gauge theories.