Emergent times in holography
ABSTRACT :
This event is a part of the activities of the Center for Quantum Information Theory of Matter and Spacetime, and the Center for Strings, Gravitation and Cosmology
In holographic duality an eternal AdS black hole is described by two copies of the boundary CFT in the thermal field double state. 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 III1 von Neumann algebraic structure and the half-sided modular translation structure associated with it.
A by-product of our discussion is a concept called causal connectability, which is a criterion for any two quantum systems (which do not necessarily have a known gravity dual) to have an emergent sharp horizon structure.