ON YANGIAN SYMMETRY IN PLANAR N = 4 SYM

2010/04/30 by Niklas Beisert · 3 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Computer science #Geometry #Integrable system #Mathematical physics #Mathematics #Physics #Planar #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering #Scattering amplitude #Symmetry (geometry) #Yangian #hep-th

paper · pdf · doi:10.1142/9789814350198_0039

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

openalex publication_date 2011/04/01 · arxiv created 2011/04/10 · arxiv updated 2017/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Planar N = 4 supersymmetric Yang–Mills theory appears to be pertur-batively integrable. This work reviews integrability in terms of a Yan-gian algebra and compares the application to the problems of anoma-lous dimensions and scattering amplitudes. 1

Citations

• Proof of the dual conformal anomaly of one-loop amplitudes in 𝒩 = 4 SYM
• Yangian symmetry of long-range \mathfrak g\mathfrak l(N) integrable spin chains
• Symmetries of the N=4 SYM S-matrix
• Integrability of Three-Particle Evolution Equations in QCD
• Asymptotic freedom in parton language
• Exacting 𝒩 = 4 superconformal symmetry
• High energy QCD as a completely integrable model
• Yangian symmetry of scattering amplitudes in 𝒩 = 4 super Yang-Mills theory
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• How Algebraic Bethe Ansatz works for integrable model
• A planar diagram theory for strong interactions
• NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
• The dilatation operator of N=4 super Yang–Mills theory and integrability
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
• Script N = 4 SYM to two loops: compact expressions for the non-compact symmetry algebra of the fraktur sfraktur u(1,1|2) sector

Cited by

• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes
• On Yangian-invariant regularization of deformed on-shell diagrams in N=4 super-Yang–Mills theory