Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation

Abstract

In this paper the pure spinor formalism is used to obtain a compact expression for the superstring N-point disk amplitude. The color ordered string amplitude is given by a sum over (N-3)! super Yang-Mills subamplitudes multiplied by multiple Gaussian hypergeometric functions. In order to obtain this result, the cohomology structure of the pure spinor superspace is exploited to generalize the Berends-Giele method of computing super Yang-Mills amplitudes. The method was briefly presented in [1], and this paper elaborates on the details and contains higher-rank examples of building blocks and associated cohomology objects. But the main achievement of this work is to identify these field-theory structures in the pure spinor computation of the superstring amplitude. In particular, the associated set of basis worldsheet integrals is constructively obtained here and thoroughly investigated together with the structure and properties of the amplitude in [2].

53 pages, harvmac TeX

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Cited by in corpus (18)

• Scattering Equations and KLT Orthogonality
• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• Construction of an effective Yang-Mills Lagrangian with manifest BCJ duality
• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• N-Point Tree-Level Scattering Amplitude in the New Berkovits' String
• Subleading Soft Factor for String Disk Amplitudes
• Factorization of Chiral String Amplitudes
• BCJ duality and double copy in the closed string sector
• On Primary Relations at Tree-level in String Theory and Field Theory
• One-loop SYM-supergravity relation for five-point amplitudes
• A Note on Soft Factors for Closed String Scattering
• On semiclassical analysis of pure spinor superstring in an AdS_5 x S^5 background
• Some tree-level string amplitudes in the NSR formalism
• Spontaneously Broken Yang-Mills-Einstein Supergravities as Double Copies
• Infrared behaviour of the one-loop scattering equations and supergravity integrands
• On pure spinor formalism for quantum superstring and spinor moving frame
• Projectivity of Planar Zeros in Field and String Theory Amplitudes