Six Open String Disk Amplitude in Pure Spinor Superspace

Abstract

The tree-level amplitude of six massless open strings is computed using the pure spinor formalism. The OPE poles among integrated and unintegrated vertices can be efficiently organized according to the cohomology of pure spinor superspace. The identification and use of these BRST structures and their interplay with the system of equations fulfilled by the generalized Euler integrals allow the full supersymmetric six-point amplitude to be written in compact form. Furthermore, the complete set of extended Bern-Carrasco-Johansson relations are derived from the monodromy properties of the disk world-sheet and explicitly verified for the supersymmetric numerator factors.

44pp, harvmac; v2: Final version to appear in NPB

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Cited by in corpus (28)

• Explicit BCJ Numerators from Pure Spinors
• 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
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• Berends-Giele recursions and the BCJ duality in superspace and components
• String-inspired BCJ numerators for one-loop MHV amplitudes
• 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
• Universality in string interactions
• BCJ duality and double copy in the closed string sector
• Pure spinor superfields -- an overview
• Tree-level amplitudes from the pure spinor superstring
• Virtuous Trees at Five and Six Points for Yang-Mills and Gravity
• Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure
• Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• On Primary Relations at Tree-level in String Theory and Field Theory
• Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation
• 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
• Conformal to Harmonic Gauge for Bosonic Strings
• Twistor Origin of the Superstring
• BCJ and KK Relations from BRST Symmetry and Supergravity Amplitudes
• On Supergravity Amplitudes from Pure Spinor Strings
• Computations of superstring amplitudes in pure spinor formalism via Cadabra