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.
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References
A. Strominger, Lectures on the Infrared Structure of Gravity and Gauge Theory, arXiv:1703.05448 [INSPIRE].
A.-M. Raclariu, Lectures on Celestial Holography, arXiv:2107.02075 [INSPIRE].
S. Pasterski, Lectures on celestial amplitudes, Eur. Phys. J. C 81 (2021) 1062 [arXiv:2108.04801] [INSPIRE].
A. Guevara, E. Himwich, M. Pate and A. Strominger, Holographic symmetry algebras for gauge theory and gravity, JHEP 11 (2021) 152 [arXiv:2103.03961] [INSPIRE].
A. Ball, S.A. Narayanan, J. Salzer and A. Strominger, Perturbatively exact w1+∞ asymptotic symmetry of quantum self-dual gravity, JHEP 01 (2022) 114 [arXiv:2111.10392] [INSPIRE].
K. Costello and N.M. Paquette, Associativity of One-Loop Corrections to the Celestial Operator Product Expansion, Phys. Rev. Lett. 129 (2022) 231604 [arXiv:2204.05301] [INSPIRE].
Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits, Nucl. Phys. B 425 (1994) 217 [hep-ph/9403226] [INSPIRE].
D.A. Kosower and P. Uwer, One loop splitting amplitudes in gauge theory, Nucl. Phys. B 563 (1999) 477 [hep-ph/9903515] [INSPIRE].
Z. Bern, L.J. Dixon and D.A. Kosower, On-shell recurrence relations for one-loop QCD amplitudes, Phys. Rev. D 71 (2005) 105013 [hep-th/0501240] [INSPIRE].
K.J. Costello, Quantizing local holomorphic field theories on twistor space, arXiv:2111.08879 [INSPIRE].
N.M. Paquette and B.R. Williams, Koszul duality in quantum field theory, arXiv:2110.10257 [INSPIRE].
K. Costello and N.M. Paquette, Twisted Supergravity and Koszul Duality: A case study in AdS3, Commun. Math. Phys. 384 (2021) 279 [arXiv:2001.02177] [INSPIRE].
Z. Gui, S. Li and K. Zeng, Quadratic Duality for Chiral Algebras, arXiv:2212.11252 [INSPIRE].
N. Garner and N.M. Paquette, Mathematics of String Dualities, PoS TASI2021 (2023) 007 [arXiv:2204.01914] [INSPIRE].
K. Costello and N.M. Paquette, Celestial holography meets twisted holography: 4d amplitudes from chiral correlators, JHEP 10 (2022) 193 [arXiv:2201.02595] [INSPIRE].
R. Bittleston, On the associativity of 1-loop corrections to the celestial operator product in gravity, JHEP 01 (2023) 018 [arXiv:2211.06417] [INSPIRE].
R.S. Ward, On Selfdual gauge fields, Phys. Lett. A 61 (1977) 81 [INSPIRE].
L.J. Mason, Twistor actions for non-self-dual fields: A Derivation of twistor-string theory, JHEP 10 (2005) 009 [hep-th/0507269] [INSPIRE].
D. Gaiotto and J. Oh, Aspects of Ω-deformed M-theory, arXiv:1907.06495 [INSPIRE].
K. Zeng, Twisted Holography and Celestial Holography from Boundary Chiral Algebra, arXiv:2302.06693 [INSPIRE].
B.R. Williams, Renormalization for holomorphic field theories, Commun. Math. Phys. 374 (2020) 1693 [arXiv:1809.02661] [INSPIRE].
O. Gwilliam and B.R. Williams, A one-loop exact quantization of Chern-Simons theory, arXiv:1910.05230 [INSPIRE].
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Fernández, V.E. One-loop corrections to the celestial chiral algebra from Koszul Duality. J. High Energ. Phys. 2023, 124 (2023). https://doi.org/10.1007/JHEP04(2023)124
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DOI: https://doi.org/10.1007/JHEP04(2023)124