Ambitwistor strings and the scattering equations on AdS3×S3


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Authors
Roehrig, K 
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 computing jats:italicn</jats:italic>-point tree-level amplitudes on AdSjats:sub3</jats:sub> into that of understanding an jats:inline-formulajats:alternativesjats:tex-math$$ {\mathfrak{sl}}_2 $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msub mml: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, with jats:italicn</jats:italic>(jats:italicn −</jats:italic> 3)jats:italic/</jats:italic>2 parameters jats:italicτ</jats:italic>jats:subjats:italicij</jats:italic></jats:sub> parametrizing the eigenvalues of the Gaudin model.</jats:p>

Description
Keywords
Regular Article - Theoretical Physics, 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