Double Copy from Homotopy Algebras

Leron Borsten; Branislav Jurčo; Hyungrok Kim; TOMMASO  MACRELLI; Christian Saemann; MARTIN WOLF

doi:10.1002/prop.202100075

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Double Copy from Homotopy Algebras

Leron Borsten, Branislav Jurčo, Hyungrok Kim, TOMMASO MACRELLI, Christian Saemann and MARTIN WOLF

Fortschritte der Physik, 2100075

21/08/2021

DOI: https://doi.org/10.1002/prop.202100075

Abstract

We show that the BRST Lagrangian double copy construction of N = 0 supergravity as the ‘square’ of Yang–Mills theory finds a natural interpretation in terms of homotopy algebras. We significantly expand on our previous work arguing the validity of the double copy at the loop level, and we give a detailed derivation of the double-copied Lagrangian and BRST operator. Our constructions are very general and can be applied to a vast set of examples.

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Title: Double Copy from Homotopy Algebras
Creators: Leron Borsten
Branislav Jurčo
Hyungrok Kim
TOMMASO MACRELLI - University of Surrey, Department of Mathematics
Christian Saemann
MARTIN WOLF - University of Surrey, Department of Mathematics
Publication Details: Fortschritte der Physik, 2100075
Publisher: Wiley
Grants: EP/N509772, Engineering and Physical Sciences Research Council (United Kingdom, Swindon) - EPSRC
Grant note: We gratefully acknowledge stimulating conversations with Johannes Brödel, Michael Duff, Jan Gutowski, Henrik Johansson, Silvia Nagy, Jim Stasheff, Richard Szabo, and Alessandro Torrielli. We also thank the organisers of and participants at QCD Meets Gravity VI for interesting questions and fruitful discussions about our related work.[9] L.B., H.K., and C.S. were supported by the Leverhulme Research Project Grant RPG–2018–329 The Mathematics of M5-Branes. B.J. was supported by the GACR Grant EXPRO 19–28268X. T.M. was partially supported by the EPSRC grant EP/N509772. BJ would also ˇ like to thank the MPI Bonn for hospitality
Identifiers: 99598223402346
Copyright: © 2021 The Authors. Fortschritte der Physik published by Wiley-VCH GmbH. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Academic Unit: Department of Mathematics
Resource Type: Journal article

Double Copy from Homotopy Algebras

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