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Scattering equations, supergravity integrands, and pure spinors

· 2015 · hep-th · arXiv 1502.06826

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

The tree-level S-matrix of type II supergravity can be computed in scattering equation form by correlators in a worldsheet theory analogous to a chiral, infinite tension limit of the pure spinor formalism. By defining a non-minimal version of this theory, we give a prescription for computing correlators on higher genus worldsheets which manifest space-time supersymmetry. These correlators are conjectured to provide the loop integrands of supergravity scattering amplitudes, supported on the scattering equations. We give non-trivial evidence in support of this conjecture at genus one and two with four external states. Throughout, we find a close correspondence with the pure spinor formalism of superstring theory, particularly regarding regulators and zero-mode counting.

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hep-th 2

years

2022 1 2021 1

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UNVERDICTED 2

representative citing papers

On differential operators and unifying relations for $1$-loop Feynman integrands

hep-th · 2021-08-09 · unverdicted · novelty 7.0

Differential operators built from the 1-loop CHY formula map the gravitational 1-loop Feynman integrand to those of Einstein-Yang-Mills, pure Yang-Mills, Born-Infeld, bi-adjoint scalar, and other theories, with factorization into tree-level operators under unitarity cuts.

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Showing 2 of 2 citing papers.

  • On differential operators and unifying relations for $1$-loop Feynman integrands hep-th · 2021-08-09 · unverdicted · none · ref 21 · internal anchor

    Differential operators built from the 1-loop CHY formula map the gravitational 1-loop Feynman integrand to those of Einstein-Yang-Mills, pure Yang-Mills, Born-Infeld, bi-adjoint scalar, and other theories, with factorization into tree-level operators under unitarity cuts.

  • Transmutation operators and expansions for $1$-loop Feynman integrands hep-th · 2022-01-05 · unverdicted · none · ref 41 · internal anchor

    New differential operators transmute 1-loop gravitational integrands to Yang-Mills ones and enable a unified web of expansions relating integrands of gravity, gauge, scalar and effective theories.