Ambitwistor strings and the scattering equations at one loop

A bstract 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 formulæ for tree level sc...

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Bibliographic Details
Published in:The journal of high energy physics 2014-04, Vol.2014 (4), p.1-34, Article 104
Main Authors: Adamo, Tim, Casali, Eduardo, Skinner, David
Format: Article
Language:English
Subjects:
Amplitudes
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Invariants
Mathematical analysis
Modular
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Scattering
String Theory
Strings
Supergravity
Trees
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Summary:A bstract 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 formulæ for tree level scattering of gravitons, gluons and scalars. In this paper we extend these formulæ 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2014)104