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On duality of color and kinematics in (A)dS momentum space

Albayrak, Soner and Kharel, Savan and Meltzer, David (2021) On duality of color and kinematics in (A)dS momentum space. Journal of High Energy Physics, 2021 (3). Art. No. 249. ISSN 1029-8479. https://resolver.caltech.edu/CaltechAUTHORS:20210331-085409967

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Abstract

We explore color-kinematic duality for tree-level AdS/CFT correlators in momentum space. We start by studying the bi-adjoint scalar in AdS at tree-level as an illustrative example. We follow this by investigating two forms of color-kinematic duality in Yang-Mills theory, the first for the integrated correlator in AdS4 and the second for the integrand in general AdS_(d+1). For the integrated correlator, we find color-kinematics does not yield additional relations among n-point, color-ordered correlators. To study color-kinematics for the AdS_(d+1) Yang-Mills integrand, we use a spectral representation of the bulk-to-bulk propagator so that AdS diagrams are similar in structure to their flat space counterparts. Finally, we study color KLT relations for the integrated correlator and double-copy relations for the AdS integrand. We find that double-copy in AdS naturally relates the bi-adjoint theory in AdSd+3 to Yang-Mills in AdS_(d+1). We also find a double-copy relation at three-points between Yang-Mills in AdS_(d+1) and gravity in AdS_(d−1) and comment on the higher-point generalization. By analytic continuation, these results on AdS/CFT correlators can be translated into statements about the wave function of the universe in de Sitter.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/jhep03(2021)249DOIArticle
https://arxiv.org/abs/2012.10460arXivDiscussion Paper
ORCID:
AuthorORCID
Albayrak, Soner0000-0002-9223-0115
Kharel, Savan0000-0001-9455-4183
Additional Information:© 2021 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. Received 15 January 2021; Accepted 23 February 2021; Published 26 March 2021. We thank Daniel Baumann, Julio Parra-Martinez and Allic Sivaramakrishnan for discussions. We also thank Allic Sivaramakrishnan for comments on the draft. SA is supported by DOE grant no. DE-SC0020318 and Simons Foundation grant 488651 (Simons Collaboration on the Nonperturbative Bootstrap). The research of DM is supported by Simons Foundation grant 488657, the Walter Burke Institute for Theoretical Physics and the Sherman Fairchild Foundation.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0020318
Simons Foundation488651
Simons Foundation488657
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
SCOAP3UNSPECIFIED
Subject Keywords:AdS-CFT Correspondence, Conformal Field Theory, Scattering Amplitudes, Gauge-gravity correspondence
Issue or Number:3
Record Number:CaltechAUTHORS:20210331-085409967
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210331-085409967
Official Citation:Albayrak, S., Kharel, S. & Meltzer, D. On duality of color and kinematics in (A)dS momentum space. J. High Energ. Phys. 2021, 249 (2021). https://doi.org/10.1007/JHEP03(2021)249
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108592
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:31 Mar 2021 18:18
Last Modified:31 Mar 2021 18:18

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