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  On Sugawara construction on Celestial Sphere

Fan, W., Fotopoulos, A., Stieberger, S., & Taylor, T. R. (2020). On Sugawara construction on Celestial Sphere. Journal of High Energy Physics, 2009, 139. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-81.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-1AB3-1 Version Permalink: https://hdl.handle.net/21.11116/0000-0008-1AB4-0
Genre: Journal Article

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http://arxiv.org/abs/arXiv:2005.10666 (Any fulltext)
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 Creators:
Fan, Wei1, Author
Fotopoulos, Angelos1, Author
Stieberger, Stephan1, Author
Taylor, Tomasz R.1, Author
Affiliations:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: Field Theory
 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 (EYM) 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.

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 Dates: 2020
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: Other: MPP-2020-81
URI: https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-81
arXiv: arxiv:2005.10666
URI: https://inspirehep.net/literature?q=find%20eprint%202005.10666
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Title: Journal of High Energy Physics
  Abbreviation : JHEP
Source Genre: Journal
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Pages: - Volume / Issue: 2009 Sequence Number: - Start / End Page: 139 Identifier: -