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Emergent times in holographic duality

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arxiv 2112.12156 v4 pith:TO5R74UW submitted 2021-12-22 hep-th gr-qcmath-phmath.MP

Emergent times in holographic duality

classification hep-th gr-qcmath-phmath.MP
keywords boundarystructureassociatedblackconstructionsdualityemergencehole
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In holographic duality an eternal AdS black hole is described by two copies of the boundary CFT in the thermal field double state. In this paper we provide explicit constructions in the boundary theory of infalling time evolutions which can take bulk observers behind the horizon. The constructions also help to illuminate the boundary emergence of the black hole horizons, the interiors, and the associated causal structure. A key element is the emergence, in the large $N$ limit of the boundary theory, of a type III$_1$ von Neumann algebraic structure from the type I boundary operator algebra and the half-sided modular translation structure associated with it.

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