Covariant phase space and $L_\infty$ algebras
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908520867168256 |
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| author | Bernardes, Vinícius Erler, Theodore Fırat, Atakan Hilmi |
| author_facet | Bernardes, Vinícius Erler, Theodore Fırat, Atakan Hilmi |
| contents | We propose a symplectic structure for the phase space of a generic Lagrangian field theory expressed in the framework of $L_\infty$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20706 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Covariant phase space and $L_\infty$ algebras Bernardes, Vinícius Erler, Theodore Fırat, Atakan Hilmi High Energy Physics - Theory General Relativity and Quantum Cosmology We propose a symplectic structure for the phase space of a generic Lagrangian field theory expressed in the framework of $L_\infty$ 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. |
| title | Covariant phase space and $L_\infty$ algebras |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.20706 |