The Poisson bracket in L_infty formulation of field theory is computed via the Peierls formula from the symplectic structure, illustrated in p-adic string theory with a homological algebra interpretation of the inverse relation.
Conserved charges and $L_\infty$ algebras
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abstract
We give a formula for conserved charges in an arbitrary Lagrangian field theory expressed in the framework of $L_\infty$ algebras. The formula is expressed in terms of the theory's $L_\infty$ data alone, without reference to the derivative structure of the Lagrangian. Therefore conserved charges can be computed in nonlocal models, such as string field theory, where conventional methods break down. We also show that the formula correctly expresses the surface charge of general relativity in terms of the Brown-York stress tensor. Related computations in Yang-Mills theory suggest that spatial boundaries are dealt with in a natural fashion.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
D0-brane mass in 26D open bosonic string field theory equals the central charge of the spontaneously broken Poincaré algebra.
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Poisson bracket and $L_\infty$ algebras
The Poisson bracket in L_infty formulation of field theory is computed via the Peierls formula from the symplectic structure, illustrated in p-adic string theory with a homological algebra interpretation of the inverse relation.
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D-brane tension as central charge
D0-brane mass in 26D open bosonic string field theory equals the central charge of the spontaneously broken Poincaré algebra.