Yangian Symmetry in Holographic Correlators

Abstract

We point out that an infinite class of Witten diagrams is invariant under a Yangian symmetry. These diagrams are building blocks of holographic correlators and are related by a web of differential recursion relations. We show that Yangian invariance is equivalent to the consistency conditions of the recursion relations.

arXiv comment7 pages

References in corpus (31)

• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• Holography and Defect Conformal Field Theories
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• Mellin amplitudes for $Ad{S}_5\times S^5$
• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• How to Succeed at Holographic Correlators Without Really Trying
• Localized Gravity in String Theory
• Defect Conformal Field Theory and Locally Localized Gravity
• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• The Analytic Functional Bootstrap I: 1D CFTs and 2D S-Matrices
• The Analytic Functional Bootstrap II: Natural Bases for the Crossing Equation
• Dispersive CFT Sum Rules
• Gluon Scattering in AdS from CFT
• Bootstrapping the simplest correlator in planar N = 4 SYM at all loops
• Yangian Symmetry for Fishnet Feynman Graphs
• Lectures on Yangian Symmetry
• The Mellin Formalism for Boundary CFT${}_d$
• An Analytic Approach to BCFT${}_d$
• Perturbative Four-Point Functions In Planar N=4 SYM From Hexagonalization
• Yangian Symmetry for Bi-Scalar Loop Amplitudes
• Mellin Amplitudes for Dual Conformal Integrals
• Yangian Bootstrap for Conformal Feynman Integrals
• All Tree-Level Correlators for M-theory on $Ad{S}_7\times S^4$
• Clustering and the Three-Point Function
• Super Gluon Five-Point Amplitudes in AdS Space
• Massive Conformal Symmetry and Integrability for Feynman Integrals
• All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs
• Aspects of CFTs on Real Projective Space
• Yangian Bootstrap for Massive Feynman Integrals
• Three-point functions at strong coupling in the BMN limit
• Scattering bound states in AdS

Cited by in corpus (6)

• Integrability for Feynman Integrals
• Shift operators from the simplex representation in momentum-space CFT
• Conformal Four-Point Integrals: Recursive Structure, Toda Equations and Double Copy
• The Feyn-Structure of Yangian Symmetry
• An Elliptic One-Loop Amplitude in Anti-de-Sitter Space
• Hypergeometry from $\hat{\mathrm{P}}$-Symmetry: Feynman Integrals in One and Two Dimensions