Ambitwistor string amplitudes in light-like linear dilaton background

Abstract

Using the ambitwistor string theory, we study graviton scattering amplitudes in a light-like linear dilaton background of ten-dimensional supergravity. At the tree level, we find that the three-graviton amplitude coincides with the type II superstring theory, and the four or more graviton amplitudes differ from the superstring theory but satisfy the scattering equations. Due to a modified momentum conservation law different at each order in genus expansion, a non-zero amplitude is determined solely from the particular order in perturbation theory without further corrections.

10 pages, v2: some clarification added

References in corpus (5)

• One-loop amplitudes on the Riemann sphere
• A Worldsheet Theory for Supergravity
• Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
• Amplitudes on plane waves from ambitwistor strings
• Ambitwistor string vertex operators on curved backgrounds