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<p>We propose a symplectic structure for the phase space of a generic Lagrangian field theory expressed in the framework of <i>L</i><sub><i>∞</i></sub> 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 <i>p</i>-adic string theory.</p>

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Covariant phase space and L∞ algebras

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月5日

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  • Vinícius Bernardes,
  • Theodore Erler,
  • Atakan Hilmi Fırat

摘要

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.