Simplifying the Tree-level Superstring Massless Five-point Amplitude

Abstract

We use the pure spinor formalism to obtain the supersymmetric massless five-point amplitude at tree-level in a streamlined fashion. We also prove the equivalence of an OPE identity in string theory with a subset of the Bern-Carrasco-Johansson five-point kinematic relations, and demonstrate how the remaining BCJ identities follow from the different integration regions over the open string world-sheet, therefore providing a first principles derivation of the (supersymmetric) BCJ identities.

19 pages, harvmac TeX, v2: Fix and add references, fix typos and add (3.16)

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• Minimal Basis for Gauge Theory Amplitudes
• Ultraviolet properties of Maximal Supergravity
• R^4, purified
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Cited by in corpus (39)

• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Gravity as the Square of Gauge Theory
• The Momentum Kernel of Gauge and Gravity Theories
• Explicit BCJ Numerators from Pure Spinors
• Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
• Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
• Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes
• Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• Dual Identities inside the Gluon and the Graviton Scattering Amplitudes
• Proof of Gravity and Yang-Mills Amplitude Relations
• Berends-Giele recursions and the BCJ duality in superspace and components
• Generic multiloop methods and application to N=4 super-Yang-Mills
• Multiparticle SYM equations of motion and pure spinor BRST blocks
• A recursive method for SYM n-point tree amplitudes
• New Identities among Gauge Theory Amplitudes
• N-Point Tree-Level Scattering Amplitude in the New Berkovits' String
• A Color Dual Form for Gauge-Theory Amplitudes
• Constraints and Generalized Gauge Transformations on Tree-Level Gluon and Graviton Amplitudes
• On-shell Recursion in String Theory
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• Tree-level amplitudes from the pure spinor superstring
• Six Open String Disk Amplitude in Pure Spinor Superspace
• Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace
• Colour-Kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms
• Monodromy--like Relations for Finite Loop Amplitudes
• Virtuous Trees at Five and Six Points for Yang-Mills and Gravity
• Towards the n-point one-loop superstring amplitude I: Pure spinors and superfield kinematics
• U(1)-decoupling, KK and BCJ relations in $\mathcal{N}=4$ SYM
• Relations of loop partial amplitudes in gauge theory by Unitarity cut method
• On Primary Relations at Tree-level in String Theory and Field Theory
• Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy
• Two-loop superstring five-point amplitudes III, construction via the RNS formulation: even spin structures
• The Structure of Multiloop Amplitudes in Gauge and Gravity Theories
• One-loop SYM-supergravity relation for five-point amplitudes
• The structure of the R^8 term in type IIB string theory
• Some tree-level string amplitudes in the NSR formalism