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2020

Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions

Eberhardt, Lorenz, Komatsu, Shota, Mizera, Sebastian

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We introduce a bosonic ambitwistor string theory in AdS space.

Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula for correlation functions of boundary CFT operators in arbitrary space-time dimensions.
The resulting construction can be treated as a natural extension of the CHY formalism for the flat-space S-matrix, as it similarly expresses tree-level amplitudes in AdS as integrals over the moduli space of Riemann spheres with punctures.
These integrals localize on an operator-valued version of scattering equations, which we derive directly from the ambitwistor string action on a coset manifold.

Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions · Around

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