New Identities among Gauge Theory Amplitudes

Abstract

Color-ordered amplitudes in gauge theories satisfy non-linear identities involving amplitude products of different helicity configurations. We consider the origin of such identities and connect them to the Kawai-Lewellen-Tye (KLT) relations between gravity and gauge theory amplitudes. Extensions are made to one-loop order of the full N=4 super Yang-Mills multiplet.

7 pages

References in corpus (14)

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Cited by in corpus (58)

• Scattering Equations and KLT Orthogonality
• The Momentum Kernel of Gauge and Gravity Theories
• On-shell Techniques and Universal Results in Quantum Gravity
• Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
• Combinatorics and Topology of Kawai-Lewellen-Tye Relations
• Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory
• A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
• Proof of Gravity and Yang-Mills Amplitude Relations
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• Stringy KLT relations, global symmetries, and E_7(7) violation
• Generic multiloop methods and application to N=4 super-Yang-Mills
• BCJ numerators from reduced Pfaffian
• Equivalent D=3 Supergravity Amplitudes from Double Copies of Three-Algebra and Two-Algebra Gauge Theories
• Expansion of Einstein-Yang-Mills Amplitude
• New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level
• On the kinematic algebra for BCJ numerators beyond the MHV sector
• Perturbiner Methods for Effective Field Theories and the Double Copy
• BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
• Expansion of All Multitrace Tree Level EYM Amplitudes
• Post-Minkowskian Radial Action from Soft Limits and Velocity Cuts
• Constraints and Generalized Gauge Transformations on Tree-Level Gluon and Graviton Amplitudes
• Computation of Contour Integrals on ${\mathcal{M}}_{0,n}$
• Orthogonal multiplet bases in SU(Nc) color space
• Unraveling conformal gravity amplitudes
• An Introduction to On-shell Recursion Relations
• An Algebraic Approach to the Scattering Equations
• Scattering equations and virtuous kinematic numerators and dual-trace functions
• Graphs, determinants and gravity amplitudes
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• KLT and New Relations for N=8 SUGRA and N=4 SYM
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• Comment on the Identities of the Gluon Tree Amplitudes
• On Primary Relations at Tree-level in String Theory and Field Theory
• The Complete KLT-Map Between Gravity and Gauge Theories
• Note on New KLT relations
• Expansion of Einstein-Yang-Mills theory by Differential Operators
• KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry
• Kinematic Numerators and a Double-Copy Formula for N = 4 Super-Yang-Mills Residues
• Perturbative expansion of N<8 Supergravity
• On tree amplitudes with gluons coupled to gravitons
• The Construction of Dual-trace Factor in Yang-Mills Theory
• Note on symmetric BCJ numerator
• Note on Construction of Dual-trace Factor in Yang-Mills Theory
• One-loop SYM-supergravity relation for five-point amplitudes
• Note on Bonus Relations for N=8 Supergravity Tree Amplitudes
• On KLT and SYM-supergravity relations from 5-point 1-loop amplitudes
• A String Deformation of the Parke-Taylor Factor
• Note on Identities Inspired by New Soft Theorems
• Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes
• Holonomies of gauge fields in twistor space 3: gravity as a square of N=4 theory
• Applications of Subleading-color Amplitudes in N=4 SYM Theory
• Expansion of EYM Amplitudes in Gauge Invariant Vector Space
• Unusual identities for QCD at tree-level
• Color-Kinematic Numerators for Fermion Compton Amplitudes
• The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
• Perturbative Gravity and Gauge Theory Relations -- A Review
• Soft Theorems and the KLT-Relation
• Note on Cyclic Sum and Combination Sum of Color-ordered Gluon Amplitudes