# Celestial holography meets twisted holography: 4d amplitudes from chiral correlators

@article{Costello2022CelestialHM,
title={Celestial holography meets twisted holography: 4d amplitudes from chiral correlators},
author={Kevin J. Costello and Natalie M. Paquette},
journal={Journal of High Energy Physics},
year={2022},
volume={2022}
}
• Published 7 January 2022
• Mathematics
• Journal of High Energy Physics
We propose a new program for computing a certain integrand of scattering amplitudes of four-dimensional gauge theories which we call the form factor integrand, starting from 6d holomorphic theories on twistor space. We show that the form factor integrands can be expressed as sums of products of 1.) correlators of a 2d chiral algebra, related to the algebra of asymptotic symmetries uncovered recently in the celestial holography program, and 2.) OPE coefficients of a 4d non-unitary CFT. We prove…
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A BSTRACT : In split signature, global twistor constructions for conformally self-dual (SD) gravity and Yang-Mills construct solutions from twistor data that can be expressed in terms of free
We consider self-dual Yang-Mills theory (SDYM) in four dimensions and its lift to holomorphic BF theory on twistor space. Following the work of Costello and Paquette, we couple SDYM to a quartic
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We give an explicit realization of the 4d local operator / 2d conformal block correspondence of Costello and Paquette in the case of gauge theories. This is accomplished by lifting the 4d local

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