Ambitwistor strings in 4-dimensions

Abstract

We develop ambitwistor string theories for 4 dimensions to obtain new formulae for tree-level gauge and gravity amplitudes with arbitrary amounts of supersymmetry. Ambitwistor space is the space of complex null geodesics in complexified Minkowski space, and in contrast to earlier ambitwistor strings, we use twistors rather than vectors to represent this space. Although superficially similar to the original twistor string theories of Witten, Berkovits and Skinner, these theories differ in the assignment of worldsheet spins of the fields, rely on both twistor and dual twistor representatives for the vertex operators, and use the ambitwistor procedure for calculating correlation functions. Our models are much more flexible, no longer requiring maximal supersymmetry, and the resulting formulae for amplitudes are simpler, having substantially reduced moduli. These are supported on the solutions to the scattering equations refined according to MHV degree and can be checked by comparison with corresponding formulae of Witten and of Cachazo and Skinner.

4 pages, v2 a few clarifications added as in PRL version

References in corpus (1)

• Gravity from Rational Curves

Cited by in corpus (24)

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• A Worldsheet Theory for Supergravity
• Twistor Strings for N=8 Supergravity
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• Infrared behaviour of the one-loop scattering equations and supergravity integrands
• Fermions and the scattering equations
• Characterizing the solutions to scattering equations that support tree-level ${\text{N}}^k\text{MHV}$ gauge/gravity amplitudes
• Worldsheet Geometries of Ambitwistor String