Infinite Chiral Symmetry in Four Dimensions

Abstract

We describe a new correspondence between four-dimensional conformal field theories with extended supersymmetry and two-dimensional chiral algebras. The meromorphic correlators of the chiral algebra compute correlators in a protected sector of the four-dimensional theory. Infinite chiral symmetry has far-reaching consequences for the spectral data, correlation functions, and central charges of any four-dimensional theory with $\mathcal{N}=2$ superconformal symmetry.

75 pages. v3: minor corrections. Final version -- published in Communications in Mathematical Physics

References in corpus (17)

• S-duality in N=2 supersymmetric gauge theories
• Webs of five-branes and N=2 superconformal field theories
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Bounds on 4D Conformal and Superconformal Field Theories
• The $(2,0)$ superconformal bootstrap
• Tinkertoys for Gaiotto Duality
• W Symmetry in six dimensions
• The gravity duals of N=2 superconformal field theories
• A non-renormalization theorem for chiral primary 3-point functions
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Chiral algebras of class S
• Holomorphic reduction of N=2 gauge theories, Wilson-'t Hooft operators, and S-duality
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions
• Tri-vertices and SU(2)'s
• On 2d TQFTs whose values are holomorphic symplectic varieties
• W-algebras and surface operators in N=2 gauge theories

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• Arc spaces and chiral symplectic cores
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