Ambitwistor formulations of R 2 gravity and (DF)2 gauge theories
Abstract We consider D-dimensional amplitudes in R 2 gravities (conformal gravity in D = 4) and in the recently introduced (DF)2 gauge theory, from the perspective of the CHY formulae and ambitwistor string theory. These theories are related through the BCJ double-copy construction, and the (DF)2 ga...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2017)052 |
| _version_ | 1818577107839614976 |
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| author | Thales Azevedo Oluf Tang Engelund |
| author_facet | Thales Azevedo Oluf Tang Engelund |
| author_sort | Thales Azevedo |
| collection | DOAJ |
| description | Abstract We consider D-dimensional amplitudes in R 2 gravities (conformal gravity in D = 4) and in the recently introduced (DF)2 gauge theory, from the perspective of the CHY formulae and ambitwistor string theory. These theories are related through the BCJ double-copy construction, and the (DF)2 gauge theory obeys color-kinematics duality. We work out the worldsheet details of these theories and show that they admit a formulation as integrals on the support of the scattering equations, or alternatively, as ambitwistor string theories. For gravity, this generalizes the work done by Berkovits and Witten on conformal gravity to D dimensions. The ambitwistor is also interpreted as a D-dimensional generalization of Witten’s twistor string (SYM + conformal supergravity). As part of our ambitwistor investigation, we discover another (DF)2 gauge theory containing a photon that couples to Einstein gravity. This theory can provide an alternative KLT description of Einstein gravity compared to the usual Yang-Mills squared. |
| first_indexed | 2024-12-16T06:24:40Z |
| format | Article |
| id | doaj.art-ab58b6faa3ca402e87b056859afc6807 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T06:24:40Z |
| publishDate | 2017-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ab58b6faa3ca402e87b056859afc68072022-12-21T22:41:03ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171112710.1007/JHEP11(2017)052Ambitwistor formulations of R 2 gravity and (DF)2 gauge theoriesThales Azevedo0Oluf Tang Engelund1Department of Physics and Astronomy, Uppsala UniversityDepartment of Physics and Astronomy, Uppsala UniversityAbstract We consider D-dimensional amplitudes in R 2 gravities (conformal gravity in D = 4) and in the recently introduced (DF)2 gauge theory, from the perspective of the CHY formulae and ambitwistor string theory. These theories are related through the BCJ double-copy construction, and the (DF)2 gauge theory obeys color-kinematics duality. We work out the worldsheet details of these theories and show that they admit a formulation as integrals on the support of the scattering equations, or alternatively, as ambitwistor string theories. For gravity, this generalizes the work done by Berkovits and Witten on conformal gravity to D dimensions. The ambitwistor is also interpreted as a D-dimensional generalization of Witten’s twistor string (SYM + conformal supergravity). As part of our ambitwistor investigation, we discover another (DF)2 gauge theory containing a photon that couples to Einstein gravity. This theory can provide an alternative KLT description of Einstein gravity compared to the usual Yang-Mills squared.http://link.springer.com/article/10.1007/JHEP11(2017)052Scattering AmplitudesConformal Field Theory |
| spellingShingle | Thales Azevedo Oluf Tang Engelund Ambitwistor formulations of R 2 gravity and (DF)2 gauge theories Journal of High Energy Physics Scattering Amplitudes Conformal Field Theory |
| title | Ambitwistor formulations of R 2 gravity and (DF)2 gauge theories |
| title_full | Ambitwistor formulations of R 2 gravity and (DF)2 gauge theories |
| title_fullStr | Ambitwistor formulations of R 2 gravity and (DF)2 gauge theories |
| title_full_unstemmed | Ambitwistor formulations of R 2 gravity and (DF)2 gauge theories |
| title_short | Ambitwistor formulations of R 2 gravity and (DF)2 gauge theories |
| title_sort | ambitwistor formulations of r 2 gravity and df 2 gauge theories |
| topic | Scattering Amplitudes Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP11(2017)052 |
| work_keys_str_mv | AT thalesazevedo ambitwistorformulationsofr2gravityanddf2gaugetheories AT oluftangengelund ambitwistorformulationsofr2gravityanddf2gaugetheories |