Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks

Fan, Wei; Fotopoulos, Angelos; Stieberger, Stephan; Taylor, Tomasz R.; Zhu, Bin

doi:10.48550/arXiv.2206.08979

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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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Datensatz-Permalink: https://hdl.handle.net/21.11116/0000-000C-B56D-E Versions-Permalink: https://hdl.handle.net/21.11116/0000-000C-B56E-D

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Urheber:
Fan, Wei¹, Autor
Fotopoulos, Angelos¹, Autor
Stieberger, Stephan¹, Autor
Taylor, Tomasz R.¹, Autor
Zhu, Bin¹, Autor

Affiliations:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650

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Schlagwörter: Field Theory

Zusammenfassung: 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.