Ambitwistor strings and the scattering equations on AdS<inf>3</inf>×S<sup>3</sup>

Roehrig, K; Skinner, D

Ambitwistor strings and the scattering equations on AdS3×S³

cam.issuedOnline	2022-02-10
dc.contributor.author	Roehrig, K
dc.contributor.author	Skinner, D
dc.date.accessioned	2022-05-27T16:08:18Z
dc.date.available	2022-05-27T16:08:18Z
dc.date.issued	2022
dc.date.submitted	2021-12-23
dc.date.updated	2022-05-27T16:08:17Z
dc.description.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>
dc.identifier.arxiv	2007.07234
dc.identifier.doi	10.17863/CAM.84960
dc.identifier.eissn	1029-8479
dc.identifier.issn	1029-8479
dc.identifier.other	jhep02(2022)073
dc.identifier.other	17758
dc.identifier.uri	https://www.repository.cam.ac.uk/handle/1810/337551
dc.language	en
dc.language.iso	eng
dc.publisher	Springer Science and Business Media LLC
dc.publisher.url	http://dx.doi.org/10.1007/jhep02(2022)073
dc.subject	AdS-CFT Correspondence
dc.subject	Scattering Amplitudes
dc.subject	Supergravity Models
dc.title	Ambitwistor strings and the scattering equations on AdS<inf>3</inf>×S<sup>3</sup>
dc.type	Article
dcterms.dateAccepted	2022-01-21
prism.issueIdentifier	2
prism.publicationName	Journal of High Energy Physics
prism.volume	2022
rioxxterms.licenseref.uri	http://creativecommons.org/licenses/by/4.0/
rioxxterms.version	VoR
rioxxterms.versionofrecord	10.1007/JHEP02(2022)073