New worldsheet formulae for conformal supergravity amplitudes
Abstract We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the scattering equations for conformal supergravity are not...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2018)074 |
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| author | Joseph A. Farrow Arthur E. Lipstein |
| author_facet | Joseph A. Farrow Arthur E. Lipstein |
| author_sort | Joseph A. Farrow |
| collection | DOAJ |
| description | Abstract We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the scattering equations for conformal supergravity are not in general refined by MHV degree. Nevertheless, we obtain a concise worldsheet formula for any number of scalars and gravitons which we lift to a manifestly supersymmetric formula using four types of vertex operators. The theory also contains states with non-plane wave boundary conditions and we show that the corresponding amplitudes can be obtained from plane-wave amplitudes by applying momentum derivatives. Such derivatives are subtle to define since the formulae are intrinsically four-dimensional and on-shell, so we develop a method for computing momentum derivatives of spinor variables. |
| first_indexed | 2024-12-13T06:09:55Z |
| format | Article |
| id | doaj.art-b1cd8bd5bfd3447294b498227a655fdf |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T06:09:55Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b1cd8bd5bfd3447294b498227a655fdf2022-12-21T23:57:07ZengSpringerOpenJournal of High Energy Physics1029-84792018-07-012018712310.1007/JHEP07(2018)074New worldsheet formulae for conformal supergravity amplitudesJoseph A. Farrow0Arthur E. Lipstein1Department of Mathematical Sciences, Durham UniversityDepartment of Mathematical Sciences, Durham UniversityAbstract We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the scattering equations for conformal supergravity are not in general refined by MHV degree. Nevertheless, we obtain a concise worldsheet formula for any number of scalars and gravitons which we lift to a manifestly supersymmetric formula using four types of vertex operators. The theory also contains states with non-plane wave boundary conditions and we show that the corresponding amplitudes can be obtained from plane-wave amplitudes by applying momentum derivatives. Such derivatives are subtle to define since the formulae are intrinsically four-dimensional and on-shell, so we develop a method for computing momentum derivatives of spinor variables.http://link.springer.com/article/10.1007/JHEP07(2018)074Scattering AmplitudesConformal Field Models in String TheorySupergravity Models |
| spellingShingle | Joseph A. Farrow Arthur E. Lipstein New worldsheet formulae for conformal supergravity amplitudes Journal of High Energy Physics Scattering Amplitudes Conformal Field Models in String Theory Supergravity Models |
| title | New worldsheet formulae for conformal supergravity amplitudes |
| title_full | New worldsheet formulae for conformal supergravity amplitudes |
| title_fullStr | New worldsheet formulae for conformal supergravity amplitudes |
| title_full_unstemmed | New worldsheet formulae for conformal supergravity amplitudes |
| title_short | New worldsheet formulae for conformal supergravity amplitudes |
| title_sort | new worldsheet formulae for conformal supergravity amplitudes |
| topic | Scattering Amplitudes Conformal Field Models in String Theory Supergravity Models |
| url | http://link.springer.com/article/10.1007/JHEP07(2018)074 |
| work_keys_str_mv | AT josephafarrow newworldsheetformulaeforconformalsupergravityamplitudes AT arthurelipstein newworldsheetformulaeforconformalsupergravityamplitudes |