One-loop corrections to the celestial chiral algebra from Koszul Duality
Open Access
- 26 April 2023
- journal article
- research article
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (4) , 1-17
Abstract
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.Keywords
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This publication has 18 references indexed in Scilit:
- Perturbatively exact w1+∞ asymptotic symmetry of quantum self-dual gravityJournal of High Energy Physics, 2022
- Lectures on celestial amplitudesThe European Physical Journal C, 2021
- Holographic symmetry algebras for gauge theory and gravityJournal of High Energy Physics, 2021
- Twisted Supergravity and Koszul Duality: A Case Study in AdS$_3$Communications in Mathematical Physics, 2021
- Renormalization for Holomorphic Field TheoriesCommunications in Mathematical Physics, 2020
- Twistor actions for non-self-dual fields; a new foundation for twistor-string theoryJournal of High Energy Physics, 2005
- On-shell recurrence relations for one-loop QCD amplitudesPhysical Review D, 2005
- One-loop splitting amplitudes in gauge theoryNuclear Physics B, 1999
- One-loop n-point gauge theory amplitudes, unitarity and collinear limitsNuclear Physics B, 1994
- On self-dual gauge fieldsPhysics Letters A, 1977