Yangian Symmetry for Fishnet Feynman Graphs

Abstract

Various classes of fishnet Feynman graphs are shown to feature a Yangian symmetry over the conformal algebra. We explicitly discuss scalar graphs in three, four and six spacetime dimensions as well as the inclusion of fermions in four dimensions. The Yangian symmetry results in novel differential equations for these families of largely unsolved Feynman integrals. Notably, the considered fishnet graphs in three and four dimensions dominate the correlation functions and scattering amplitudes in specific double scaling limits of planar, gamma-twisted N=4 super Yang-Mills or ABJM theory. Consequently, the study of fishnet graphs allows us to get deep insights into the integrability of the planar AdS/CFT correspondence.

6 pages, 5 figures

References in corpus (6)

• Exacting N=4 Superconformal Symmetry
• Gluing Ladders into Fishnets
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization
• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• RG stability of integrable fishnet models

Cited by in corpus (55)

• Strongly γ-deformed N=4 SYM as an integrable CFT
• Basso-Dixon Correlators in Two-Dimensional Fishnet CFT
• Yangian-invariant fishnet integrals in 2 dimensions as volumes of Calabi-Yau varieties
• Yangian Bootstrap for Conformal Feynman Integrals
• Exact Correlation Functions in Conformal Fishnet Theory
• Feynman Polytopes and the Tropical Geometry of UV and IR Divergences
• Structure Constants of Defect Changing Operators on the 1/2 BPS Wilson Loop
• Integrable Fishnet from $\gamma$-Deformed $\mathcal{N}=2$ Quivers
• Massive Conformal Symmetry and Integrability for Feynman Integrals
• Thermodynamic Bethe Ansatz for Fishnet CFT
• Implications of nonplanar dual conformal symmetry
• Conformal anomaly of generalized form factors and finite loop integrals
• Three-Body Effective Potential in General Relativity at Second Post-Minkowskian Order and Resulting Post-Newtonian Contributions
• Hexagons and Correlators in the Fishnet Theory
• The Double Box and Hexagon Conformal Feynman Integrals
• Yangian Bootstrap for Massive Feynman Integrals
• Spontaneous Conformal Symmetry Breaking in Fishnet CFT
• The Holographic Dual of Strongly γ-deformed N=4 SYM Theory: Derivation, Generalization, Integrability and Discrete Reparametrization Symmetry
• Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• The One-Loop Spectral Problem of Strongly Twisted $\mathcal{N}$=4 Super Yang-Mills Theory
• Massive Fishnets
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• Mirror channel eigenvectors of the $d$-dimensional fishnets
• The Loom for General Fishnet CFTs
• Exact scattering amplitudes in conformal fishnet theory
• Yangian Ward Identities for Fishnet Four-Point Integrals
• The Dual Conformal Box Integral in Minkowski Space
• The Integrable (Hyper)eclectic Spin Chain
• Integrability for Feynman Integrals
• Minkowski Box from Yangian Bootstrap
• ABJM quantum spectral curve and Mellin transform
• Yangian Symmetry in Holographic Correlators
• Hexagonalization of Fishnet integrals I: mirror excitations
• Stampedes I: Fishnet OPE and Octagon Bootstrap with Nonzero Bridges
• Nonlocal Symmetries and Factorized Scattering
• Chaos in the Fishnet
• Twistor fishnets
• Combinatorial Solution of the Eclectic Spin Chain
• Amplitudes in fishnet theories in diverse dimensions and Box ladder diagrams
• Checkerboard CFT
• Conformal quantum mechanics & the integrable spinning Fishnet
• Properties of the Conformal Yangian in Scalar and Gauge Field Theories
• Light-cone limits of large rectangular fishnets
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• On analytical perturbative solution of ABJM quantum spectral curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Fishnet four-point integrals: integrable representations and thermodynamic limits
• The Feyn-Structure of Yangian Symmetry
• A Large Twist Limit for Any Operator
• Non-Local Symmetries of Planar Feynman Integrals
• Yangian Symmetry in Five Dimensions
• Separation of variables for higher rank integrable models: review of recent progress
• Hypergeometry from $\hat{\mathrm{P}}$-Symmetry: Feynman Integrals in One and Two Dimensions
• Integrable fishnet circuits and Brownian solitons