A semi-classical symplectic two-form is defined as the sum of the gravitational symplectic form and the Berry curvature of the quantum matter state; it is shown to be independent of the Cauchy slice and to satisfy a quantum generalization of the Hollands-Iyer-Wald identity.
Surface charge algebra in gauge theories and thermodynamic integrability
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abstract
Surface charges and their algebra in interacting Lagrangian gauge field theories are investigated by using techniques from the variational calculus. In the case of exact solutions and symmetries, the surface charges are interpreted as a Pfaff system. Integrability is governed by Frobenius' theorem and the charges associated with the derived symmetry algebra are shown to vanish. In the asymptotic context, we provide a generalized covariant derivation of the result that the representation of the asymptotic symmetry algebra through charges may be centrally extended. Finally, we make contact with Hamiltonian and with covariant phase space methods.
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Covariant phase space analysis shows tensionless open strings in constant Kalb-Ramond background have purely boundary-supported phase space with noncommutative endpoint coordinates, recovering Seiberg-Witten noncommutativity for tensile strings and unifying both cases.
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Covariant phase space and the semi-classical Einstein equation
A semi-classical symplectic two-form is defined as the sum of the gravitational symplectic form and the Berry curvature of the quantum matter state; it is shown to be independent of the Cauchy slice and to satisfy a quantum generalization of the Hollands-Iyer-Wald identity.
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Covariant phase space approach to noncommutativity in tensile and tensionless open strings
Covariant phase space analysis shows tensionless open strings in constant Kalb-Ramond background have purely boundary-supported phase space with noncommutative endpoint coordinates, recovering Seiberg-Witten noncommutativity for tensile strings and unifying both cases.