A gluing operator for the ambitwistor string

Deviled Egg Holder 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 8 Piece Modular Sectional 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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