A Gluing Operator for the Ambitwistor String

Abstract

We present a new operator in the ambitwistor string which glues together correlators with fewer points or of lower genus. It underpins the recursive construction of tree-level CHY scattering amplitudes by Dolan \& Goddard, as well as the computation of loop integrands on a Riemann sphere by Geyer et al. The gluing operator is a tractable object due to the finiteness of the spectrum. In particular, we demonstrate how it gives rise to the complete one-loop integrand in SYM and SUGRA. The operator is conjectured to be the path integral incarnation of the ambitwistor string propagator, and to coincide with the field theory limit of the standard string theory propagator.

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• Gluons and gravitons at one loop from ambitwistor strings
• Two-Loop Scattering Amplitudes from Ambitwistor Strings: from Genus Two to the Nodal Riemann Sphere
• Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
• One-loop Correlators and BCJ Numerators from Forward Limits
• Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality
• Propagators, BCFW Recursion and New Scattering Equations at One Loop
• Transmuting CHY formulae
• Scattering Equations and a new Factorization for Amplitudes I: Gauge Theories
• Fermionic one-loop amplitudes of the RNS superstring
• On differential operators and unifying relations for $1$-loop Feynman integrands
• Transmutation operators and expansions for $1$-loop Feynman integrands