Derives PDEs for MHV celestial amplitudes in Liouville theory, computes logarithmic b² corrections, and shows the gluon OPE deformation at this order is isomorphic to the one-loop correction in pure Yang-Mills.
Giribet, arXiv preprint arXiv:2403.03374 (2024)
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By fixing the Liouville-Mellin dictionary via conformal covariance and semiclassical consistency, the authors derive the leading and subleading b^2 terms of the celestial three-gluon amplitude from the DOZZ function, with the one-loop piece expressed using modified Bessel functions.
Extends H3+-WZNW celestial CFT to holographically generate MHV amplitudes in Klein space, deriving dictionary, stress tensor, correlators, OPE and PDEs from KZ equations.
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Partial Differential Equations for MHV Celestial Amplitudes in Liouville Theory
Derives PDEs for MHV celestial amplitudes in Liouville theory, computes logarithmic b² corrections, and shows the gluon OPE deformation at this order is isomorphic to the one-loop correction in pure Yang-Mills.
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A perturbative Liouville prescription for the celestial three-gluon amplitude
By fixing the Liouville-Mellin dictionary via conformal covariance and semiclassical consistency, the authors derive the leading and subleading b^2 terms of the celestial three-gluon amplitude from the DOZZ function, with the one-loop piece expressed using modified Bessel functions.
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Comments on Celestial CFT and $AdS_{3}$ String Theory
Extends H3+-WZNW celestial CFT to holographically generate MHV amplitudes in Klein space, deriving dictionary, stress tensor, correlators, OPE and PDEs from KZ equations.
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