@article{de477d8afb194f11b4a4bb42bbb1e6d2,
title = "Double Copy from Homotopy Algebras",
abstract = "We show that the BRST Lagrangian double copy construction of (Formula presented.) supergravity as the {\textquoteleft}square{\textquoteright} 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.",
author = "Leron Borsten and Hyungrok Kim and Branislav Jur{\v c}o and Tommaso Macrelli and Christian Saemann and Martin Wolf",
note = "Funding Information: We gratefully acknowledge stimulating conversations with Johannes Br?del, 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 GA?R Grant EXPRO 19?28268X. T.M. was partially supported by the EPSRC grant EP/N509772. BJ would also like to thank the MPI Bonn for?hospitality. Funding Information: We gratefully acknowledge stimulating conversations with Johannes Br{\"o}del, Michael Duff, Jan Gutowski, Henrik Johansson, Silvia Nagy, Jim Stasheff, Richard Szabo, and Alessandro Torrielli. We also thank the organisers of and participants at for interesting questions and fruitful discussions about our related work. L.B., H.K., and C.S. were supported by the Leverhulme Research Project Grant RPG–2018–329 . B.J. was supported by the GA{\v C}R Grant EXPRO 19–28268X. T.M. was partially supported by the EPSRC grant EP/N509772. BJ would also like to thank the MPI Bonn for hospitality. QCD Meets Gravity VI [ 9 ] The Mathematics of M5‐Branes Publisher Copyright: {\textcopyright} 2021 The Authors. Fortschritte der Physik published by Wiley-VCH GmbH.",
year = "2021",
month = sep,
doi = "10.1002/prop.202100075",
language = "English",
volume = "69",
journal = "Fortschritte der Physik",
issn = "0015-8208",
publisher = "Wiley-VCH Verlag",
number = "8-9",
}