Proves integer Rényi QNEC by establishing log-convexity of Kosaki L^n norms under null-translation semigroups for σ-finite von Neumann algebras with half-sided modular inclusions, assuming only finite sandwiched Rényi divergence to the vacuum.
Irreversibility, QNEC, and defects,
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C, F and A theorems are proven in de Sitter using strong subadditivity of entanglement entropy, de Sitter invariance, and the Markov property of CFT for RG flows from UV CFTs.
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A general proof of integer R\'enyi QNEC
Proves integer Rényi QNEC by establishing log-convexity of Kosaki L^n norms under null-translation semigroups for σ-finite von Neumann algebras with half-sided modular inclusions, assuming only finite sandwiched Rényi divergence to the vacuum.
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Irreversibility of quantum field theory in de Sitter: the C, F and A theorems
C, F and A theorems are proven in de Sitter using strong subadditivity of entanglement entropy, de Sitter invariance, and the Markov property of CFT for RG flows from UV CFTs.