TY - JOUR
T1 - Double Copy from Homotopy Algebras
AU - Borsten, Leron
AU - Kim, Hyungrok
AU - Jurčo, Branislav
AU - Macrelli, Tommaso
AU - Saemann, Christian
AU - Wolf, Martin
N1 - Funding Information:
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 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 GAČR 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:
© 2021 The Authors. Fortschritte der Physik published by Wiley-VCH GmbH.
PY - 2021/9/30
Y1 - 2021/9/30
N2 - We show that the BRST Lagrangian double copy construction of (Formula presented.) 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.
AB - We show that the BRST Lagrangian double copy construction of (Formula presented.) 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.
UR - http://www.scopus.com/inward/record.url?scp=85113140636&partnerID=8YFLogxK
U2 - 10.1002/prop.202100075
DO - 10.1002/prop.202100075
M3 - Article
AN - SCOPUS:85113140636
SN - 0015-8208
VL - 69
JO - Fortschritte der Physik
JF - Fortschritte der Physik
IS - 8-9
M1 - 2100075
ER -