Double copy from homotopy algebras

Borsten, Leron; Jurčo, Branislav; Kim, Hyungrok; Macrelli, Tommaso; Saemann, Christian; Wolf, Martin

doi:10.1002/prop.202100075

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Journal Article

Double copy from homotopy algebras

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Jurčo, Branislav
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1002/prop.202100075
(Publisher version)

https://doi.org/10.48550/arXiv.2102.11390
(Preprint)

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Borsten-Kim-Jurco-Macrelli-Saemann-Wolf_Double copy from homotopy algebras_2021.pdf
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Citation

Borsten, L., Jurčo, B., Kim, H., Macrelli, T., Saemann, C., & Wolf, M. (2021). Double copy from homotopy algebras. Fortschritte der Physik, 69(8-9): 2100075. doi:10.1002/prop.202100075.

Cite as: https://hdl.handle.net/21.11116/0000-000A-1C0C-B

Abstract

We show that the BRST Lagrangian double copy construction of $\mathcal{N}=0$
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.