Observations on Open and Closed String Scattering Amplitudes at High Energies

Abstract

We study massless open and closed string scattering amplitudes in flat space at high energies. Similarly to the case of AdS space, we demonstrate that, under the T-duality map, the open string amplitudes are given by the exponential of minus minimal surface areas whose boundaries are cusped closed loops formed by lightlike momentum vectors. We show further that the closed string amplitudes are obtained by gluing two copies of minimal surfaces along their cusped lightlike boundaries. This can be thought of as a manifestation of the Kawai-Lewellen-Tye (KLT) relation at high energies. We also discuss the KLT relation in AdS/CFT and its possible connection to amplitudes in N=8 supergravity as well as the correlator/amplitude duality.

17 pages, 5 figures; v2: references added

References in corpus (7)

• Gluon scattering amplitudes at strong coupling
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• Four-point Amplitudes in N=8 Supergravity and Wilson Loops
• Implementation of the Duality between Wilson loops and Scattering Amplitudes in QCD
• The Structure of Multiloop Amplitudes in Gauge and Gravity Theories

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• Elimination and recursions in the scattering equations
• $\Lambda$ Scattering Equations
• Scattering equations, generating functions and all massless five point tree amplitudes
• Collinear limits beyond the leading order from the scattering equations
• Polynomial reduction and evaluation of tree- and loop-level CHY amplitudes
• Lightlike contours with fermions
• A Combinatoric Shortcut to Evaluate CHY-forms