Covariant phase space and L∞ algebras
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13130_2025_Article_27137.pdf
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d930a4163f487bf5179e57abfa004b98
Author(s)
Bernardes, Vinícius
Erler, Theodore
Fırat, Atakan H.
Date Issued
September 5, 2025
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Bernardes, V., Erler, T. & Fırat, A.H. Covariant phase space and L∞ algebras. J. High Energ. Phys. 2025, 57 (2025).
Version
Final published version
Abstract
We propose a symplectic structure for the phase space of a generic Lagrangian field theory expressed in the framework of L∞ algebras. The symplectic structure does not require explicit knowledge of the derivative content of the Lagrangian, and therefore is applicable to nonlocal models, such as string field theory, where traditional constructions are difficult to apply. We test our proposal in a number of examples ranging from general relativity to p-adic string theory.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP09(2025)057
