Ambitwistor strings and the scattering equations on AdS3×S3
Abstract We construct an ambitwistor string that describes Type II supergravity on AdS3 ×S3 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2022)073 |
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| author | Kai Roehrig David Skinner |
| author_facet | Kai Roehrig David Skinner |
| author_sort | Kai Roehrig |
| collection | DOAJ |
| description | Abstract We construct an ambitwistor string that describes Type II supergravity on AdS3 ×S3 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 n-point tree-level amplitudes on AdS3 into that of understanding an sl 2 $$ {\mathfrak{sl}}_2 $$ 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 n(n − 3)/2 parameters τ ij parametrizing the eigenvalues of the Gaudin model. |
| first_indexed | 2024-12-13T13:29:14Z |
| format | Article |
| id | doaj.art-0138d464cdcd468c907b87814567b141 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T13:29:14Z |
| publishDate | 2022-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0138d464cdcd468c907b87814567b1412022-12-21T23:44:13ZengSpringerOpenJournal of High Energy Physics1029-84792022-02-012022213910.1007/JHEP02(2022)073Ambitwistor strings and the scattering equations on AdS3×S3Kai Roehrig0David Skinner1Department of Applied Mathematics & Theoretical Physics, University of CambridgeDepartment of Applied Mathematics & Theoretical Physics, University of CambridgeAbstract We construct an ambitwistor string that describes Type II supergravity on AdS3 ×S3 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 n-point tree-level amplitudes on AdS3 into that of understanding an sl 2 $$ {\mathfrak{sl}}_2 $$ 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 n(n − 3)/2 parameters τ ij parametrizing the eigenvalues of the Gaudin model.https://doi.org/10.1007/JHEP02(2022)073AdS-CFT CorrespondenceScattering AmplitudesSupergravity Models |
| spellingShingle | Kai Roehrig David Skinner Ambitwistor strings and the scattering equations on AdS3×S3 Journal of High Energy Physics AdS-CFT Correspondence Scattering Amplitudes Supergravity Models |
| title | Ambitwistor strings and the scattering equations on AdS3×S3 |
| title_full | Ambitwistor strings and the scattering equations on AdS3×S3 |
| title_fullStr | Ambitwistor strings and the scattering equations on AdS3×S3 |
| title_full_unstemmed | Ambitwistor strings and the scattering equations on AdS3×S3 |
| title_short | Ambitwistor strings and the scattering equations on AdS3×S3 |
| title_sort | ambitwistor strings and the scattering equations on ads3 s3 |
| topic | AdS-CFT Correspondence Scattering Amplitudes Supergravity Models |
| url | https://doi.org/10.1007/JHEP02(2022)073 |
| work_keys_str_mv | AT kairoehrig ambitwistorstringsandthescatteringequationsonads3s3 AT davidskinner ambitwistorstringsandthescatteringequationsonads3s3 |