Wormholes from heavy operator statistics in AdS/CFT

Abstract

We construct higher dimensional Euclidean AdS wormhole solutions that reproduce the statistical description of the correlation functions of an ensemble of heavy CFT operators. We consider an operator which effectively backreacts on the geometry in the form of a thin shell of dust particles. Assuming dynamical chaos in the form of the ETH ansatz, we demonstrate that the semiclassical path integral provides an effective statistical description of the microscopic features of the thin shell operator in the CFT. The Euclidean wormhole solutions provide microcanonical saddlepoint contributions to the cumulants of the correlation functions over the ensemble of operators. We finally elaborate on the role of these wormholes in the context of non-perturbative violations of bulk global symmetries in AdS/CFT.

36 pages, 10 figures; v2: minor corrections and added references

References in corpus (6)

• Symmetries and Strings in Field Theory and Gravity
• Complexity and Shock Wave Geometries
• Holographic representation of local bulk operators
• Euclidean Wormholes in String Theory
• A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance
• Can one hear the shape of a wormhole?

Cited by in corpus (7)

• A principle of maximum ignorance for semiclassical gravity
• Toward random tensor networks and holographic codes in CFT
• Multiboundary wormholes and OPE statistics
• Non-Invertible Symmetries in Supergravity
• Random Circuits in the Black Hole Interior
• Classical Liouville Action and Uniformization of Orbifold Riemann Surfaces
• Coarse-Grained Fixed-Point Tensor Networks and Holographic Reflected Entropy in 3D Gravity