Ambitwistor strings and the scattering equations at one loop

Adamo, Tim; Casali, Eduardo; Skinner, David

doi:10.1007/JHEP04(2014)104

Ambitwistor strings and the scattering equations at one loop

Tim Adamo
(
- Cambridge U., DAMTP
)
,
Eduardo Casali
(
- Cambridge U., DAMTP
)
,
David Skinner
(
- Cambridge U., DAMTP
)

Dec 13, 2013

34 pages

Published in:

JHEP 04 (2014) 104

Published: 2014

e-Print:

1312.3828 [hep-th]

DOI:

10.1007/JHEP04(2014)104

Report number:

DAMTP-2013-74

View in:

ADS Abstract Service

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Abstract: (arXiv)

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.

Note:

34 pages, no figures. v2: improvements to discussion, references updated

Scattering Amplitudes
Superstrings and Heterotic Strings
Supergravity Models
Differential and Algebraic Geometry
string: partition function
graviton: scattering
invariance: modular
operator: vertex
dimension: 10
scattering amplitude

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Figures(0)

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