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Ambitwistor strings and the scattering equations on AdS3×S3

Published version
Peer-reviewed

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Authors

Roehrig, K 
Skinner, D 

Abstract

jats:titleAjats:scbstract</jats:sc></jats:title>jats:pWe construct an ambitwistor string that describes Type II supergravity on AdSjats:sub3</jats:sub>jats:italic×</jats:italic>Sjats:sup3</jats:sup>with pure NS flux. The background Einstein equations ensure that the model is anomaly free. The spectrum consists of supergravity fluctuations around this background, with no higher string states. This theory transforms the problem of computingjats:italicn</jats:italic>-point tree-level amplitudes on AdSjats:sub3</jats:sub>into that of understanding anjats:inline-formulajats:alternativesjats:tex-math$$ {\mathfrak{sl}}_2 $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">mml:msubmml:misl</mml:mi>mml:mn2</mml:mn></mml:msub></mml:math></jats:alternatives></jats:inline-formula>Gaudin integrable system, whose representations are determined by the dual boundary operators and whose spectral parameters correspond to the worldsheet insertion points. The scattering equations take a similar form to flat space, withjats:italicn</jats:italic>(jats:italicn −</jats:italic>3)jats:italic/</jats:italic>2 parametersjats:italicτ</jats:italic>jats:subjats:italicij</jats:italic></jats:sub>parametrizing the eigenvalues of the Gaudin model.</jats:p>

Description

Keywords

AdS-CFT Correspondence, Scattering Amplitudes, Supergravity Models

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1029-8479
1029-8479

Volume Title

2022

Publisher

Springer Science and Business Media LLC