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Ambitwistor strings and the scattering equations at one loop
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Ambitwistor strings are chiral, infinite tension analogues of conventional string theory whose target space is the space of complex null geodesics and whose spectrum consists exclusively of massless states. At genus zero, these strings underpin the Cachazo-He-Yuan formulae for tree level scattering of gravitons, gluons and scalars. In this paper we extend these formulae in a number of directions. Firstly, we consider Ramond sector vertex operators and construct simple amplitudes involving space-time fermions. These agree with tree amplitudes in ten dimensional supergravity and super Yang--Mills. We then show that, after the usual GSO projections, the ambitwistor string partition function is modular invariant. We consider the scattering equations at genus one, and calculate one loop scattering amplitudes for NS-NS external states in the Type II ambitwistor string. We conjecture that these give new representations of (the integrand of) one loop supergravity amplitudes and we show that they have the expected behaviour under factorization of the worldsheet in both non--separating and separating degenerations.
Forward citations
Cited by 7 Pith papers
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Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality
Two-loop Yang-Mills and gravity integrands are constructed from tree-level trivalent diagrams via a double-forward limit, with multiplicity factors that make the loop-level colour-kinematics duality manifest.
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On differential operators and unifying relations for $1$-loop Feynman integrands
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 factor...
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Transmutation operators and expansions for $1$-loop Feynman integrands
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.
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Scalar-Graviton Amplitudes
The paper gives recursive, covariant, D-dimensional tree amplitudes for two massive scalars and any number of gluons or gravitons, extending known four-dimensional results.
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On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
The polarized scattering equation for 11D supergravity is derived from the supertwistor form of the ambitwistor superstring with SO(16) covariance, and a fermionic superpartner equation on superamplitudes is found.
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Supertwistor description of ambitwistor strings
A supertwistor-based 10D ambitwistor string is built and shown, in light-cone gauge, to reproduce the tree amplitudes of the RNS ambitwistor string.
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The spectrum of the bosonic ambitwistor string revisited
The bosonic ambitwistor string spectrum is confined to the massless sector and contains the dilaton, metric, Kalb-Ramond field plus an extra vector, but is non-unitary.
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