Gravitational algebras and the generalized second law

• DOI: 10.1007/jhep11(2024)099
• Publication Date: 2024-11-19T05:09:39Z
• Authors: Thomas Faulkner; Antony J. Speranza
• Keywords: High Energy Physics - Theory; Black Holes; High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; Models of Quantum Gravity; FOS: Physical sciences; QC770-798; General Relativity and Quantum Cosmology (gr-qc); 01 natural sciences; General Relativity and Quantum Cosmology

A bstract We derive the generalized second law (GSL) for arbitrary cuts of Killing horizons from perspective crossed-product gravitational algebras, making use a recent proposal by one us construction local algebras. This relies on existence state whose modular flow is geometric horizon. In both free and interacting quantum field theories, such states are guaranteed to exist properties half-sided translations Using identities derived canonical analysis general relativity null surfaces, we show that crossed product entropy agrees with horizon cut in semiclassical limit, further reproduce Wall’s result relating GSL monotonicity relative also give novel generalization theories asymptotically flat spacetimes involving concept an algebra at infinity translation, which accounts triviality fields smeared only Going beyond compute subleading corrections entropy, but unable determine if continues hold after accounting these. speculate improved could follow hidden subalgebra structure products, assuming operator-valued weight between