Ambitwistor strings in six and five dimensions
Abstract Ambitwistor strings are chiral (holomorphic) strings whose target is the space of complex null geodesics, ambitwistor space. We introduce twistor representations of ambitwistor space in 6 and 5 dimensions. In 6d the twistor representation is naturally conformally invariant. Anomaly cancella...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2021)153 |
| _version_ | 1818584710959333376 |
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| author | Yvonne Geyer Lionel Mason David Skinner |
| author_facet | Yvonne Geyer Lionel Mason David Skinner |
| author_sort | Yvonne Geyer |
| collection | DOAJ |
| description | Abstract Ambitwistor strings are chiral (holomorphic) strings whose target is the space of complex null geodesics, ambitwistor space. We introduce twistor representations of ambitwistor space in 6 and 5 dimensions. In 6d the twistor representation is naturally conformally invariant. Anomaly cancellation leads to models that describe biadjoint scalar amplitudes and certain conformally invariant gauge and gravity theories, respectively of 4th and 6th order. There are three such models, reflecting triality for the conformal group SO(8) associated to these 6d models. On reduction to five dimensions, gauge anomaly cancellation requires supersymmetry and the resulting models describe maximally supersymmetric Yang-Mills and gravity. The twistor representation of these ambitwistor strings lead to formulæ for maximally supersymmetric gauge and gravity amplitudes based on the polarized scattering equations in 5d, found earlier by the first two authors. |
| first_indexed | 2024-12-16T08:25:31Z |
| format | Article |
| id | doaj.art-245fe1bf388347919ad01da9660e320e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T08:25:31Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-245fe1bf388347919ad01da9660e320e2022-12-21T22:38:00ZengSpringerOpenJournal of High Energy Physics1029-84792021-08-012021813510.1007/JHEP08(2021)153Ambitwistor strings in six and five dimensionsYvonne Geyer0Lionel Mason1David Skinner2Department of Physics, Faculty of Science, Chulalongkorn UniversityThe Mathematical Institute, University of Oxford, AWB, ROQDepartment of Applied Mathematics & Theoretical Physics, University of CambridgeAbstract Ambitwistor strings are chiral (holomorphic) strings whose target is the space of complex null geodesics, ambitwistor space. We introduce twistor representations of ambitwistor space in 6 and 5 dimensions. In 6d the twistor representation is naturally conformally invariant. Anomaly cancellation leads to models that describe biadjoint scalar amplitudes and certain conformally invariant gauge and gravity theories, respectively of 4th and 6th order. There are three such models, reflecting triality for the conformal group SO(8) associated to these 6d models. On reduction to five dimensions, gauge anomaly cancellation requires supersymmetry and the resulting models describe maximally supersymmetric Yang-Mills and gravity. The twistor representation of these ambitwistor strings lead to formulæ for maximally supersymmetric gauge and gravity amplitudes based on the polarized scattering equations in 5d, found earlier by the first two authors.https://doi.org/10.1007/JHEP08(2021)153Scattering AmplitudesSuperstrings and Heterotic Strings |
| spellingShingle | Yvonne Geyer Lionel Mason David Skinner Ambitwistor strings in six and five dimensions Journal of High Energy Physics Scattering Amplitudes Superstrings and Heterotic Strings |
| title | Ambitwistor strings in six and five dimensions |
| title_full | Ambitwistor strings in six and five dimensions |
| title_fullStr | Ambitwistor strings in six and five dimensions |
| title_full_unstemmed | Ambitwistor strings in six and five dimensions |
| title_short | Ambitwistor strings in six and five dimensions |
| title_sort | ambitwistor strings in six and five dimensions |
| topic | Scattering Amplitudes Superstrings and Heterotic Strings |
| url | https://doi.org/10.1007/JHEP08(2021)153 |
| work_keys_str_mv | AT yvonnegeyer ambitwistorstringsinsixandfivedimensions AT lionelmason ambitwistorstringsinsixandfivedimensions AT davidskinner ambitwistorstringsinsixandfivedimensions |