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arXiv · 2311.17152

On the Quantum Bousso Bound in JT gravity

Victor Franken·François Rondeau
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Abstract

We prove the Strominger-Thompson quantum Bousso bound in the infinite class of conformal vacua in semiclassical JT gravity, with postive or negative cosmological constant. The Bousso-Fisher-Leichenauer-Wall quantum Bousso bound follows from an analogous derivation, requiring only initial quantum non-expansion. In this process, we show that the quantity ${2πk^μk^ν<:T_{μν}:>-S''-\frac{6}{c}(S')^2}$ vanishes in any vacuum state, entailing a stronger version of Wall's quantum null energy condition. We derive an entropy formula in the presence of a generic class of two reflecting boundaries, in order to apply our argument to the half reduction model of de Sitter JT gravity.

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Victor Franken, François Rondeau. 2024-04-01. On the Quantum Bousso Bound in JT gravity. https://doi.org/10.1007/jhep03(2024)178

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