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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Main Authors: Wei Fan, Angelos Fotopoulos, Stephan Stieberger, Tomasz R. Taylor
Format: Article
Language:English
Published: SpringerOpen 2020-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP09(2020)139
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spelling 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
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AT angelosfotopoulos onsugawaraconstructiononcelestialsphere
AT stephanstieberger onsugawaraconstructiononcelestialsphere
AT tomaszrtaylor onsugawaraconstructiononcelestialsphere
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