Causal connectability between quantum systems and the black hole interior in holographic duality

Abstract: In holographic duality an eternal AdS black hole is described by two copies of the boundary CFT in the thermal field double state. This identification still has many puzzles, including the boundary descriptions of the event horizons, the interiors of the black hole, and the singularities. Compounding these mysteries is the fact that, while there is no interaction between the CFTs, observers from them can fall into the black hole and interact. We will address these issues in this talk. In particular, we (i) present a boundary formulation of infalling observers; (ii) show that in any holographic systems, a sharp event horizon can only emerge in the infinite N limit; (iii) give an explicit construction in the boundary theory of an evolution operator for a family of bulk in-falling observers, making manifest the boundary emergence of the black hole horizons, the interiors, and the associated causal structure.

A by-product 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.

general relativity and quantum cosmologyHEP - phenomenologyHEP - theory

Audience: researchers in the topic

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Frontiers of Holographic Duality-3

Series comments: Having been initially used as a tool to explore strongly coupled phenomena, holography found important applications and intriguing insights in the structure of quantum gravity and quantum information, linking them to certain universal properties of strongly coupled chaotic quantum systems. It provides unified geometric tools for the description of various phenomena in the heavy ions collision physics, many-body physics applications, black hole physics, and quantum information theory.

The aim is to explore a wide variety of aspects of holographic duality, bringing together specialists in main topics to have comprehensive, but intensive discussions of the frontiers of holography and closely related subjects of quantum information and strongly-coupled theory.

The topics to be discussed include holographic duality and applications:

-holographic quantum chromodynamics and heavy ions collisions; -entanglement, chaos and many-body phenomena; -black holes and quantum information.

Zoom password and organization information will be sent to speakers and registered participants. Please note that all talks will be moderated and recorded.

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