The 4d/2d correspondence in twistor space and holomorphic Wilson lines

Abstract

We give an explicit realization of the 4d local operator / 2d conformal block correspondence of Costello and Paquette in the case of gauge theories. This is accomplished by lifting the 4d local operators to non-local operators in twistor space using a holomorphic generalization of the Wilson line. This procedure automatically constructs the 2d conformal blocks corresponding to the local operator. We interpret this lifting as effectively integrating out the 2d degrees of freedom living on the defect. We present some 2d chiral CFT representations of the defect algebra whose correlators reproduce the conformal blocks obtained by the lifting procedure.

arXiv commentv2, JHEP accepted version

References in corpus (36)

• Perturbative Gauge Theory As A String Theory In Twistor Space
• On BMS Invariance of Gravitational Scattering
• MHV Vertices And Tree Amplitudes In Gauge Theory
• BMS supertranslations and Weinberg's soft graviton theorem
• New Symmetries of Massless QED
• Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• Asymptotic Symmetries of Yang-Mills Theory
• A Conformal Basis for Flat Space Amplitudes
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• A 2D Stress Tensor for 4D Gravity
• One-Loop N Gluon Amplitudes with Maximal Helicity Violation via Collinear Limits
• Conformal Supergravity in Twistor-String Theory
• The self-dual sector of QCD amplitudes
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• Multigluon Helicity Amplitudes Involving a Quark Loop
• Supersymmetric Gauge Theories in Twistor Space
• Twistor actions for non-self-dual fields; a new foundation for twistor-string theory
• Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
• A Proof of the Supersymmetric Correlation Function / Wilson Loop Correspondence
• Uplifting AdS3/CFT2 to Flat Space Holography
• Twistor Actions for Self-Dual Supergravities
• Conformal and Einstein gravity from twistor actions
• Celestial operator products from the worldsheet
• Twisted Supergravity and Koszul Duality: A case study in AdS${}_3$
• Asymptotic Symmetries and Weinberg's Soft Photon Theorem in Mink${}_{d+2}$
• The asymptotic structure of electromagnetism in higher spacetime dimensions
• A Note on MHV Amplitudes for Gravitons
• Composite Operators in the Twistor Formulation of $\mathcal{N}=4$ SYM Theory
• All Tree-Level MHV Form Factors in $\mathcal{N}=4$ SYM from Twistor Space
• A quantization of twistor Yang-Mills theory through the background field method
• Correlation functions, null polygonal Wilson loops, and local operators
• On Form Factors and Correlation Functions in Twistor Space
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• Demystifying the twistor construction of composite operators in N=4 super-Yang-Mills theory

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