Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure

Abstract

Using the pure spinor formalism in part I [1] we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N-3)! Yang-Mills partial subamplitudes each multiplying a multiple Gaussian hypergeometric function. While the former capture the space-time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple hypergeometric functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Groebner basis analysis provides independent sets of rational functions in the Euler integrals.

68 pages, harvmac TeX

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Cited by in corpus (19)

• Pure Gravities via Color-Kinematics Duality for Fundamental Matter
• The closed-string 3-loop amplitude and S-duality
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• Tree-level gluon amplitudes on the celestial sphere
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• 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
• Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
• On Primary Relations at Tree-level in String Theory and Field Theory
• Superstring Amplitudes as a Mellin Transform of Supergravity
• Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace
• Maximally Helicity Violating Disk Amplitudes, Twistors and Transcendental Integrals
• A Note on Soft Factors for Closed String Scattering
• 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
• Scattering amplitudes in gauge theories with and without supersymmetry