Ambitwistor strings and the scattering equations on AdS<inf>3</inf>×S<sup>3</sup>
Publication Date
2022-02-10Journal Title
Journal of High Energy Physics
ISSN
1029-8479
Publisher
Springer Science and Business Media LLC
Volume
2022
Issue
2
Language
en
Type
Article
This Version
VoR
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Roehrig, K., & Skinner, D. (2022). Ambitwistor strings and the scattering equations on AdS<inf>3</inf>×S<sup>3</sup>. Journal of High Energy Physics, 2022 (2) https://doi.org/10.1007/JHEP02(2022)073
Abstract
<jats:title>A<jats:sc>bstract</jats:sc>
</jats:title><jats:p>We construct an ambitwistor string that describes Type II supergravity on AdS<jats:sub>3</jats:sub><jats:italic>×</jats:italic>S<jats:sup>3</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:italic>n</jats:italic>-point tree-level amplitudes on AdS<jats:sub>3</jats:sub> into that of understanding an <jats:inline-formula><jats:alternatives><jats:tex-math>$$ {\mathfrak{sl}}_2 $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msub>
<mml:mi>sl</mml:mi>
<mml:mn>2</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:italic>n</jats:italic>(<jats:italic>n −</jats:italic> 3)<jats:italic>/</jats:italic>2 parameters <jats:italic>τ</jats:italic><jats:sub><jats:italic>ij</jats:italic></jats:sub> parametrizing the eigenvalues of the Gaudin model.</jats:p>
Keywords
Regular Article - Theoretical Physics, AdS-CFT Correspondence, Scattering Amplitudes, Supergravity Models
Identifiers
jhep02(2022)073, 17758
External DOI: https://doi.org/10.1007/JHEP02(2022)073
This record's URL: https://www.repository.cam.ac.uk/handle/1810/333919
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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