On Yangian Symmetry in Planar N=4 SYM

Abstract

Planar N=4 supersymmetric Yang-Mills theory appears to be perturbatively integrable. This work reviews integrability in terms of a Yangian algebra and compares the application to the problems of anomalous dimensions and scattering amplitudes.

24 pages, To Lev Lipatov on the occasion of his 70th birthday, v2: references and typos corrected, v3: no changes, references updated, published in "Subtleties in Quantum Field Theory", pp. 175, ed: D. Diakonov and "Gribov-80 Memorial Volume: Quantum Chromodynamics and Beyond", pp. 413, ed: Yu. Dokshitzer, P. Lévai, J. Nyíri

References in corpus (13)

• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• Exacting N=4 Superconformal Symmetry
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• Integrability of scattering amplitudes in N=4 SUSY
• Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory
• One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry
• Symmetries of the N=4 SYM S-matrix
• Proof of the Dual Conformal Anomaly of One-Loop Amplitudes in N=4 SYM
• Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains
• Yangian Symmetry at Two Loops for the su(2|1) Sector of N=4 SYM
• Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra

Cited by in corpus (28)

• On form factors in N=4 sym
• Lectures on Yangian Symmetry
• On MHV Form Factors in Superspace for $\mathcal{N}=4$ SYM Theory
• On-shell Diagrams, Graßmannians and Integrability for Form Factors
• On NMHV form factors in N=4 SYM theory from generalized unitarity
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• Yangians, S-matrices and AdS/CFT
• Bethe Ansatz for Yangian Invariants: Towards Super Yang-Mills Scattering Amplitudes
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• On Yangian-invariant regularisation of deformed on-shell diagrams in N=4 super-Yang-Mills theory
• Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Integrability of Smooth Wilson Loops in N=4 Superspace
• Two-Loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• Nonlocal Symmetries, Spectral Parameter and Minimal Surfaces in AdS/CFT
• Yangian in the Twistor String
• Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
• Fermionic T-duality and U-duality in type II supergravity
• Gluonic evanescent operators: classification and one-loop renormalization
• Permutation Relations of Yangian Invariants, Unitarity Cuts, and Scattering Amplitudes
• Algorithms for representations of quiver Yangian algebras
• Grassmannian Integrals in Minkowski Signature, Amplitudes, and Integrability
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions
• Hypergeometry from $\hat{\mathrm{P}}$-Symmetry: Feynman Integrals in One and Two Dimensions
• On-shell Methods for Form Factors in N=4 SYM and Their Applications
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes