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Celestial Liouville Theory for Yang-Mills Amplitudes

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arxiv 2209.02724 v1 pith:ISWBRLSB submitted 2022-09-06 hep-th

Celestial Liouville Theory for Yang-Mills Amplitudes

classification hep-th
keywords celestialamplitudesfieldliouvilledilatonoperatorstheoryyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider Yang-Mills theory with the coupling constant and theta angle determined by the vacuum expectation values of a dynamical (complex) dilaton field. We discuss the tree-level N-gluon MHV scattering amplitudes in the presence of a nontrivial background dilaton field and construct the corresponding celestial amplitudes by taking Mellin transforms with respect to the lightcone energies. In this way, we obtain two-dimensional CFT correlators of primary fields on the celestial sphere. We show that the celestial Yang-Mills amplitudes evaluated in the presence of a spherical dilaton shockwave are given by the correlation functions of primary field operators factorized into the holomorphic current operators times the "light" Liouville operators. They are evaluated in the semiclassical limit of Liouville theory (the limit of infinite central charge) and are determined by the classical Liouville field describing metrics on the celestial sphere.

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Cited by 5 Pith papers

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