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  Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks

Fan, W., Fotopoulos, A., Stieberger, S., Taylor, T. R., & Zhu, B. (2022). Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks. Journal of High Energy Physics, 09, 182. doi:10.48550/arXiv.2206.08979.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000C-B56D-E Version Permalink: https://hdl.handle.net/21.11116/0000-000C-B56E-D
Genre: Journal Article

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 Creators:
Fan, Wei1, Author
Fotopoulos, Angelos1, Author
Stieberger, Stephan1, Author
Taylor, Tomasz R.1, Author
Zhu, Bin1, Author
Affiliations:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: Field Theory
 Abstract: We discuss the properties of recently constructed "single-valued" celestial four-gluon amplitudes. We show that the amplitude factorizes into the "current" part and the "scalar" part. The current factor is given by the group-dependent part of the Wess-Zumino-Witten correlator of four holomorphic currents with a non-vanishing level of Kač-Moody algebra. The scalar factor can be expressed in terms of a complex integral of the Koba-Nielsen form, similar to the integrals describing four-point correlators in Coulomb gas models and, more generally, in the infinite central charge limit of Liouville theory. The scalar part can be also obtained by a dimensional reduction of a single D=4 conformal block and the shadow block from Minkowski space to the celestial sphere.

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 Dates: 2022
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: Other: MPP-2022-62
URI: https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2022-62
arXiv: arxiv:2206.08979
DOI: 10.48550/arXiv.2206.08979
URI: https://inspirehep.net/literature?q=find%20eprint%202206.08979
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Title: Journal of High Energy Physics
  Abbreviation : JHEP
Source Genre: Journal
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Pages: - Volume / Issue: 09 Sequence Number: - Start / End Page: 182 Identifier: -