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On-shell correlators and color-kinematics duality in curved symmetric spacetimes

Cheung, Clifford and Parra-Martinez, Julio and Sivaramakrishnan, Allic (2022) On-shell correlators and color-kinematics duality in curved symmetric spacetimes. Journal of High Energy Physics, 2022 (5). Art. No. 27. ISSN 1029-8479. doi:10.1007/jhep05(2022)027.

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We define a perturbatively calculable quantity — the on-shell correlator — which furnishes a unified description of particle dynamics in curved spacetime. Specializing to the case of flat and anti-de Sitter space, on-shell correlators coincide precisely with on-shell scattering amplitudes and boundary correlators, respectively. Remarkably, we find that symmetric manifolds admit a generalization of on-shell kinematics in which the corresponding momenta are literally the isometry generators of the spacetime acting on the external kinematic data. These isometric momenta are intrinsically non-commutative but exhibit on-shell conditions that are identical to those of flat space, thus providing a common language for computing and representing on-shell correlators which is agnostic about the underlying geometry. Afterwards, we compute tree-level on-shell correlators for biadjoint scalar (BAS) theory and the nonlinear sigma model (NLSM) and learn that color-kinematics duality is manifested at the level of fields under a mapping of the color algebra to the algebra of gauged isometries on the spacetime manifold. Last but not least, we present a field theoretic derivation of the fundamental BCJ relations for on-shell correlators following from the existence of certain conserved currents in BAS theory and the NLSM.

Item Type:Article
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URLURL TypeDescription Paper
Cheung, Clifford0000-0002-9983-9425
Parra-Martinez, Julio0000-0003-0178-1569
Additional Information:© 2022 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: February 21, 2022; Accepted: April 4, 2022; Published: May 4, 2022. We are grateful to Andreas Helset, James Mangan, and David Meltzer for useful discussions and comments on the paper. We are especially indebted to Aidan Herderschee, Radu Roiban, and Fei Teng for comments on the paper and sharing their related preprint [82]. C.C. and J.P.-M. are supported by the DOE under grant no. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics. A.S. was supported by the NSF under grant no. NSF-PHY/211673 and the College of Arts and Sciences of the University of Kentucky, and would like to thank the Walter Burke Institute for Theoretical Physics for hospitality during the completion of this project.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
University of KentuckyUNSPECIFIED
Subject Keywords:AdS-CFT Correspondence, Scattering Amplitudes
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Issue or Number:5
Record Number:CaltechAUTHORS:20220624-899678800
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Official Citation:Cheung, C., Parra-Martinez, J. & Sivaramakrishnan, A. On-shell correlators and color-kinematics duality in curved symmetric spacetimes. J. High Energ. Phys. 2022, 27 (2022).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115261
Deposited By: Tony Diaz
Deposited On:24 Jun 2022 21:45
Last Modified:28 Jun 2022 18:59

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