Abstract
We show that, given a two-dimensional realization of the celestial OPE in self-dual Yang-Mills, we can find a scalar source around which scattering amplitudes replicate correlation functions computed from the 2D ‘gluon’ operators in a limit where a dynamic massless scalar decouples. We derive conditions on the two-dimensional three-point correlation function so that such a source exists and give two particular examples of this construction, one in which gluons are constructed from vertex operators in the semiclassical limit of Liouville theory and another in which the soft gluons arise from generalized free fields. Finally, we identify a bulk dual to the level of the boundary Kac-Moody algebra and discuss moving beyond the decoupling limit.
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S. Pasterski, S.-H. Shao and A. Strominger, Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere, Phys. Rev. D 96 (2017) 065026 [arXiv:1701.00049] [INSPIRE].
S. Pasterski and S.-H. Shao, Conformal basis for flat space amplitudes, Phys. Rev. D 96 (2017) 065022 [arXiv:1705.01027] [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].
M. Pate, A.-M. Raclariu, A. Strominger and E.Y. Yuan, Celestial operator products of gluons and gravitons, Rev. Math. Phys. 33 (2021) 2140003 [arXiv:1910.07424] [INSPIRE].
A. Puhm, Conformally Soft Theorem in Gravity, JHEP 09 (2020) 130 [arXiv:1905.09799] [INSPIRE].
E. Himwich, M. Pate and K. Singh, Celestial operator product expansions and w1+∞ symmetry for all spins, JHEP 01 (2022) 080 [arXiv:2108.07763] [INSPIRE].
A. Strominger, w1+∞ Algebra and the Celestial Sphere: Infinite Towers of Soft Graviton, Photon, and Gluon Symmetries, Phys. Rev. Lett. 127 (2021) 221601 [arXiv:2105.14346] [INSPIRE].
Y.T.A. Law and M. Zlotnikov, Poincaré constraints on celestial amplitudes, JHEP 03 (2020) 085 [Erratum ibid. 04 (2020) 202] [arXiv:1910.04356] [INSPIRE].
S. Pasterski, S.-H. Shao and A. Strominger, Gluon Amplitudes as 2d Conformal Correlators, Phys. Rev. D 96 (2017) 085006 [arXiv:1706.03917] [INSPIRE].
W. Melton, A. Sharma and A. Strominger, Celestial Leaf Amplitudes, arXiv:2312.07820 [INSPIRE].
E. Casali, W. Melton and A. Strominger, Celestial amplitudes as AdS-Witten diagrams, JHEP 11 (2022) 140 [arXiv:2204.10249] [INSPIRE].
W. Melton, S.A. Narayanan and A. Strominger, Deforming soft algebras for gauge theory, JHEP 03 (2023) 233 [arXiv:2212.08643] [INSPIRE].
W. Fan et al., Elements of celestial conformal field theory, JHEP 08 (2022) 213 [arXiv:2202.08288] [INSPIRE].
R. Gonzo, T. McLoughlin and A. Puhm, Celestial holography on Kerr-Schild backgrounds, JHEP 10 (2022) 073 [arXiv:2207.13719] [INSPIRE].
T.R. Taylor and B. Zhu, Celestial Supersymmetry, JHEP 06 (2023) 210 [arXiv:2302.12830] [INSPIRE].
K. Costello, N.M. Paquette and A. Sharma, Top-Down Holography in an Asymptotically Flat Spacetime, Phys. Rev. Lett. 130 (2023) 061602 [arXiv:2208.14233] [INSPIRE].
K. Costello, N.M. Paquette and A. Sharma, Burns space and holography, JHEP 10 (2023) 174 [arXiv:2306.00940] [INSPIRE].
S. Stieberger, T.R. Taylor and B. Zhu, Celestial Liouville theory for Yang-Mills amplitudes, Phys. Lett. B 836 (2023) 137588 [arXiv:2209.02724] [INSPIRE].
S. Stieberger, T.R. Taylor and B. Zhu, Yang-Mills as a Liouville theory, Phys. Lett. B 846 (2023) 138229 [arXiv:2308.09741] [INSPIRE].
A. Ball, Y. Hu and S. Pasterski, Multicollinear singularities in celestial CFT, JHEP 02 (2024) 219 [arXiv:2309.16602] [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].
G. Chalmers and W. Siegel, The selfdual sector of QCD amplitudes, Phys. Rev. D 54 (1996) 7628 [hep-th/9606061] [INSPIRE].
L.J. Dixon, E.W.N. Glover and V.V. Khoze, MHV rules for Higgs plus multi-gluon amplitudes, JHEP 12 (2004) 015 [hep-th/0411092] [INSPIRE].
T. Adamo, L. Mason and A. Sharma, Celestial amplitudes and conformal soft theorems, Class. Quant. Grav. 36 (2019) 205018 [arXiv:1905.09224] [INSPIRE].
P. Di Francesco, P. Mathieu and D. Sénéchal, Conformal Field Theory, Springer-Verlag, New York, U.S.A. (1997) [https://doi.org/10.1007/978-1-4612-2256-9] [INSPIRE].
V. Balasubramanian et al., Heavy-Heavy-Light-Light correlators in Liouville theory, JHEP 08 (2017) 045 [arXiv:1705.08004] [INSPIRE].
L. Donnay, S. Pasterski and A. Puhm, Asymptotic Symmetries and Celestial CFT, JHEP 09 (2020) 176 [arXiv:2005.08990] [INSPIRE].
L. Ren, M. Spradlin, A. Yelleshpur Srikant and A. Volovich, On effective field theories with celestial duals, JHEP 08 (2022) 251 [arXiv:2206.08322] [INSPIRE].
Acknowledgments
The authors would like to thank Erin Crawley, Andrea Puhm, Lecheng Ren, Romain Ruzziconi, Andrew Strominger, Tomasz Taylor, and Bin Zhu for interesting discussions. The authors also thank Atul Sharma and Tianli Wang for constructive comments on earlier drafts of this paper. WM is supported by the NSF GRFP grant DGE1745 and DOE grant de-sc/0007870. SN acknowledges support by the Celestial Holography Intitiative at the Perimeter Institute for Theoretical Physics and by the Simons Collaboration on Celestial Holography. SN’s research at the Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science and Industry Canada and by the Province of Ontario through the Ministry of Colleges and Universities.
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Melton, W., Narayanan, S.A. Celestial gluon amplitudes from the outside in. J. High Energ. Phys. 2024, 211 (2024). https://doi.org/10.1007/JHEP05(2024)211
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DOI: https://doi.org/10.1007/JHEP05(2024)211