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arXiv · 2206.08979

Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks

Wei Fan·Angelos Fotopoulos·Stephan Stieberger·Tomasz R. Taylor·Bin Zhu
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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 Ka\v{c}-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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Wei Fan, Angelos Fotopoulos, Stephan Stieberger, Tomasz R. Taylor, Bin Zhu. 2022-06-17. Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks. https://doi.org/10.1007/jhep09(2022)182

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