Ambitwistor strings in six and five dimensions
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 lead...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2021
|
| _version_ | 1826300188072869888 |
|---|---|
| author | Geyer, Y Mason, L Skinner, D |
| author_facet | Geyer, Y Mason, L Skinner, D |
| author_sort | Geyer, Y |
| collection | OXFORD |
| description | 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 | 2024-03-07T05:13:23Z |
| format | Journal article |
| id | oxford-uuid:dc52edd4-2bd7-4b15-996c-5a108ca0e57f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:13:23Z |
| publishDate | 2021 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:dc52edd4-2bd7-4b15-996c-5a108ca0e57f2022-03-27T09:17:03ZAmbitwistor strings in six and five dimensionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:dc52edd4-2bd7-4b15-996c-5a108ca0e57fEnglishSymplectic ElementsSpringer2021Geyer, YMason, LSkinner, DAmbitwistor 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. |
| spellingShingle | Geyer, Y Mason, L Skinner, D Ambitwistor strings in six and five dimensions |
| 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 |
| work_keys_str_mv | AT geyery ambitwistorstringsinsixandfivedimensions AT masonl ambitwistorstringsinsixandfivedimensions AT skinnerd ambitwistorstringsinsixandfivedimensions |