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arXiv · 2102.11390

Double Copy from Homotopy Algebras

Leron Borsten·Branislav Jurco·Hyungrok Kim·Tommaso Macrelli·Christian Saemann·Martin Wolf
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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.

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Leron Borsten, Branislav Jurco, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf. 2021-02-22. Double Copy from Homotopy Algebras. https://doi.org/10.1002/prop.202100075

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