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.
Harlow and J.-Q
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Derives semi-classical gravity from thermodynamics of stretched light cones in 2D dilaton gravity with explicit conformal anomaly backreaction and shows equations of motion follow from dynamical Wald entropy in Brans-Dicke theories.
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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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Semi-classical spacetime thermodynamics
Derives semi-classical gravity from thermodynamics of stretched light cones in 2D dilaton gravity with explicit conformal anomaly backreaction and shows equations of motion follow from dynamical Wald entropy in Brans-Dicke theories.