Double Copy from Homotopy Algebras
High Energy Physics - Theory
2021-09-09 v2 Mathematical Physics
math.MP
Abstract
We show that the BRST Lagrangian double copy construction of 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.
Cite
@article{arxiv.2102.11390,
title = {Double Copy from Homotopy Algebras},
author = {Leron Borsten and Branislav Jurco and Hyungrok Kim and Tommaso Macrelli and Christian Saemann and Martin Wolf},
journal= {arXiv preprint arXiv:2102.11390},
year = {2021}
}
Comments
v2: 168 pages, presentation improved, typos fixed, published version