Scattering amplitudes as multi-particle higher-spin charges in the correspondence space

Abstract

Following the proposal of arXiv:1312.6673, multi-particle scattering amplitudes are represented as conserved higher-spin charges. The advantage of such reformulation is that multi-particle amplitudes acquire the form of an integral of a closed form in the correspondence unifying usual space-time with the twistor-like spinor space. This allows one to identify seemingly different formulae for amplitudes in terms of twistor and space-time integrals. Example of tree MHV amplitudes of Yang-Mills theory is considered in detail. Our results are derived using unfolded dynamics formulation of massless fields. In these terms all information on the amplitude is contained in a single function $\eta$ that, even for lower spin amplitudes, can be interpreted as a higher-spin symmetry parameter. The proposed technique can be useful to relate different approaches to amplitude calculations.

arXiv comment20 pages

References in corpus (35)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Perturbative Gauge Theory As A String Theory In Twistor Space
• New Recursion Relations for Tree Amplitudes of Gluons
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Higher Spin Gauge Theories: Star-Product and AdS Space
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• A Duality For The S Matrix
• Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• The Higher Spin/Vector Model Duality
• The S-Matrix in Twistor Space
• Positive Geometries and Canonical Forms
• Consistency Conditions on the S-Matrix of Massless Particles
• Conformal Higher Spin Symmetries of 4d Massless Supermultiplets and $osp(L,2M)$ Invariant Equations in Generalized (Super)Space
• Unwinding the Amplituhedron in Binary
• Scattering Amplitudes For All Masses and Spins
• On amplitudes in self-dual sector of Yang-Mills theory
• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• Dynamics of Higher Spin Fields and Tensorial Space
• Operator algebra of free conformal currents via twistors
• Relativity, Causality, Locality, Quantization and Duality in the $Sp(2M)$ Invariant Generalized Space-Time
• On-shell Diagrams, Graßmannians and Integrability for Form Factors
• Conformal higher spin scattering amplitudes from twistor space
• Homotopy Properties and Lower-Order Vertices in Higher-Spin Equations
• From Coxeter Higher-Spin Theories to Strings and Tensor Models
• Homotopy Operators and Locality Theorems in Higher-Spin Equations
• Notes on Scattering Amplitudes as Differential Forms
• Multiparticle extension of the higher-spin algebra
• Higher Spin Fields in Siegel Space, Currents and Theta Functions
• Test of the local form of higher-spin equations via AdS/CFT
• On Soft Theorems And Form Factors In N=4 SYM Theory
• Conformal Higher Spin Theory and Twistor Space Actions
• $Sp(8)$ invariant higher spin theory, twistors and geometric BRST formulation of unfolded field equations
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Conserved Higher-Spin Charges in $Ad{S}_4$

Cited by in corpus (2)

• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ II: Potentials
• A Passion for Theoretical Physics: a special issue in memory of Peter G. O. Freund