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arXiv · 2512.23970

Adjoint L-Infinity Actions and Conserved Charges in GR

Changsun Choi·Ryan E. Grady
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Abstract

In this work we compute the conserved currents and charges associated to the action of an infinitesimal isometry (Killing field) in Einstein--Cartan--Palatini gravity. We offer a new approach to these quantities through the formalism of $L_\infty$-algebras and the work of \'{C}iri\'{c}, Giotopoulos, Radovanovi\'{c}, and Szabo, and Costello and Gwilliam. We demonstrate our approach by computing the entropy of the Schwarzchild and Kerr black holes. Along the way, we prove a purely algebraic result about the existence and utility of a higher (a full $\infty$) version of the adjoint action of an $L_\infty$-algebra.

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Changsun Choi, Ryan E. Grady. 2025-12-30. Adjoint L-Infinity Actions and Conserved Charges in GR. https://arxiv.org/abs/2512.23970

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