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One-loop corrections to the celestial chiral algebra from Koszul Duality
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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 axion field, which guarantees associativity of the (extended) celestial chiral algebra at the quantum level. We demonstrate how to reproduce their one-loop quantum deformation to the chiral algebra using Koszul duality.
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Cited by 2 Pith papers
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Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories
Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.
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Associativity is enough: an all-orders 2d chiral algebra for 4d form factors
Associativity and symmetry determine the all-loop 2d chiral algebra OPEs for twistorial self-dual Yang-Mills, with one coefficient, c, left only as an order-by-order solution.
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