Covariant phase space and $L_{\infty }$ algebras

Abstract

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.

arXiv comment33 pages, 5 figures; v2: minor corrections

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Cited by in corpus (3)

• Symplectic structure in open string field theory II: Sliding lump
• Symplectic structure in open string field theory I: Rolling tachyons
• Symplectic structure in open string field theory III: Electric field