On Sugawara construction on celestial sphere
Abstract Conformally soft gluons are conserved currents of the Celestial Conformal Field Theory (CCFT) and generate a Kac-Moody algebra. We study celestial amplitudes of Yang-Mills theory, which are Mellin transforms of gluon amplitudes and take the double soft limit of a pair of gluons. In this man...
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doaj-ff530c45a1304ea383dc94ab3c63e66b2020-11-25T03:42:33ZengSpringerOpenJournal of High Energy Physics1029-84792020-09-012020913810.1007/JHEP09(2020)139On Sugawara construction on celestial sphereWei Fan0Angelos Fotopoulos1Stephan Stieberger2Tomasz R. Taylor3Department of Physics, College of Science, Jiangsu University of Science and TechnologyDepartment of Physics, Northeastern UniversityMax-Planck-Institut für Physik, Werner-Heisenberg-InstitutDepartment of Physics, Northeastern UniversityAbstract Conformally soft gluons are conserved currents of the Celestial Conformal Field Theory (CCFT) and generate a Kac-Moody algebra. We study celestial amplitudes of Yang-Mills theory, which are Mellin transforms of gluon amplitudes and take the double soft limit of a pair of gluons. In this manner we construct the Sugawara energy-momentum tensor of the CCFT. We verify that conformally soft gauge bosons are Virasoro primaries of the CCFT under the Sugawara energy-momentum tensor. The Sugawara tensor though does not generate the correct conformal transformations for hard states. In Einstein-Yang- Mills theory, we consider an alternative construction of the energy-momentum tensor, similar to the double copy construction which relates gauge theory amplitudes with gravity ones. This energy momentum tensor has the correct properties to generate conformal transformations for both soft and hard states. We extend this construction to supertranslations.http://link.springer.com/article/10.1007/JHEP09(2020)139Conformal and W SymmetryScattering Amplitudes |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wei Fan Angelos Fotopoulos Stephan Stieberger Tomasz R. Taylor |
spellingShingle |
Wei Fan Angelos Fotopoulos Stephan Stieberger Tomasz R. Taylor On Sugawara construction on celestial sphere Journal of High Energy Physics Conformal and W Symmetry Scattering Amplitudes |
author_facet |
Wei Fan Angelos Fotopoulos Stephan Stieberger Tomasz R. Taylor |
author_sort |
Wei Fan |
title |
On Sugawara construction on celestial sphere |
title_short |
On Sugawara construction on celestial sphere |
title_full |
On Sugawara construction on celestial sphere |
title_fullStr |
On Sugawara construction on celestial sphere |
title_full_unstemmed |
On Sugawara construction on celestial sphere |
title_sort |
on sugawara construction on celestial sphere |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2020-09-01 |
description |
Abstract Conformally soft gluons are conserved currents of the Celestial Conformal Field Theory (CCFT) and generate a Kac-Moody algebra. We study celestial amplitudes of Yang-Mills theory, which are Mellin transforms of gluon amplitudes and take the double soft limit of a pair of gluons. In this manner we construct the Sugawara energy-momentum tensor of the CCFT. We verify that conformally soft gauge bosons are Virasoro primaries of the CCFT under the Sugawara energy-momentum tensor. The Sugawara tensor though does not generate the correct conformal transformations for hard states. In Einstein-Yang- Mills theory, we consider an alternative construction of the energy-momentum tensor, similar to the double copy construction which relates gauge theory amplitudes with gravity ones. This energy momentum tensor has the correct properties to generate conformal transformations for both soft and hard states. We extend this construction to supertranslations. |
topic |
Conformal and W Symmetry Scattering Amplitudes |
url |
http://link.springer.com/article/10.1007/JHEP09(2020)139 |
work_keys_str_mv |
AT weifan onsugawaraconstructiononcelestialsphere AT angelosfotopoulos onsugawaraconstructiononcelestialsphere AT stephanstieberger onsugawaraconstructiononcelestialsphere AT tomaszrtaylor onsugawaraconstructiononcelestialsphere |
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