Covariant phase space and L∞ algebras
A bstract 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.
Authors
- Theodore Erler (ORCID: https://orcid.org/0000-0003-3640-195X)
- Atakan Hilmi Fırat (ORCID: https://orcid.org/0000-0002-7306-7367)
- Vinícius Bernardes (ORCID: https://orcid.org/0000-0003-3526-9811)
Institutions
- University of California System (US)
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech Republic (CZ)
- Massachusetts Institute of Technology (US)
- University of California, Davis (US)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-09-05
- DOI
- https://doi.org/10.1007/jhep09(2025)057
- Citations
- 2
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 7.38
Funders
- National Science Foundation
- U.S. Department of Energy
- Forskningsrådet om Hälsa, Arbetsliv och Välfärd
- Office of Science
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara
- High Energy Physics