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Gravitational algebras and the generalized second law

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  • UserAntony Speranza, University of Amsterdam
  • ClockThursday 28 November 2024, 12:30-14:00
  • HousePotter Room (B1.19).

If you have a question about this talk, please contact Bernardo Zan.

I will describe a derivation of the generalized second law of black hole horizons from the perspective of gravitational von Neumann algebras. The algebra is constructed via a crossed product construction, and consists of quantum field operators dressed to the asymptotic ADM mass. Using properties of half-sided modular inclusions for the black hole horizon, I will argue that this algebra is a type II von Neumann algebra, and hence possesses a well-defined trace and renormalized entropy. By consistently normalizing the trace between cuts, the entropy of semiclassical states can be shown to increase toward the future. I will also discuss interesting features of working with interacting quantum fields and asymptotically flat black holes, and relate these to algebraic features of the half-sided modular inclusion; namely, the concept of a singular inclusion and an algebra at infinity.

This talk is part of the Quantum Fields and Strings Seminars series.

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