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The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time

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arxiv hep-th/9905178 v2 pith:D3QAGKWU submitted 1999-05-25 hep-th gr-qcmath-phmath.MP

classification hep-thgr-qcmath-phmath.MP
keywords space-timeanti-desittervacuumacceleratedcannotcausalitycommensurable
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If the vacuum is passive for uniformly accelerated observers in anti-de Sitter space-time (i.e. cannot be used by them to operate a "perpetuum mobile"), they will (a) register a universal value of the Hawking-Unruh temperature, (b) discover a TCP symmetry, and (c) find that observables in complementary wedge-shaped regions are commensurable (local) in the vacuum state. These results are model independent and hold in any theory which is compatible with some weak notion of space-time localization.

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Cited by 2 Pith papers

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    At linearized order, the vacuum-subtracted HRT entropy of a boundary region is the entropy of a coherent graviton state in the modular crossed-product algebra of the dual CFT, assuming a wedge-reconstructing holographic map.

  2. Relating the modular Hamiltonian to two-point functions

    math-ph 2025-01 conditional novelty 5.0 of 10

    For free scalar fields in any Gaussian state, the modular Hamiltonian restricted to a region is determined by the equal-time two-point functions X and Π via M=Π^{1/2}B^{-1}arcoth(2B)Π^{1/2}, N=Π^{-1/2}B arcoth(2B)Π^{-...

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