Wormholes and surface defects in rational ensemble holography

Abstract

We study wormhole contributions to the bulk path integral in holographic models which are dual to ensembles of rational free boson conformal field theories. We focus on the path integral on a geometry connecting two toroidal boundaries, which should capture the variance of the ensemble distribution. We show that this requirement leads to a nontrivial set of constraints which generically picks out the uniform, maximum entropy, ensemble distribution. Furthermore, we show that the two-boundary path integral should receive contributions from `exotic' wormholes, which arise from the inclusion of topological surface defects.

arXiv comment35 pages, 3 figures. V2 minor corrections, references added, published version

References in corpus (34)

• Replica Wormholes and the Entropy of Hawking Radiation
• AdS3 Black Holes and a Stringy Exclusion Principle
• Quantum Gravity Partition Functions in Three Dimensions
• Wormholes in AdS
• TFT construction of RCFT correlators I: Partition functions
• Higher Gauging and Non-invertible Condensation Defects
• Topological boundary conditions in abelian Chern-Simons theory
• AdS${}_3$ gravity and random CFT
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• Averaging Over Narain Moduli Space
• A theory of reparameterizations for AdS${}_3$ gravity
• Free partition functions and an averaged holographic duality
• Poincare Series, 3D Gravity and CFT Spectroscopy
• Lightcone Modular Bootstrap and Pure Gravity
• Partition functions and elliptic genera from supergravity
• The Gravity Dual of the Ising Model
• Disorder Averaging and its UV (Dis)Contents
• Narain to Narnia
• Adding Flavor to the Narain Ensemble
• Comments on the holographic description of Narain theories
• Chern-Simons Invariants from Ensemble Averages
• AdS${}_3$ wormholes from a modular bootstrap
• Kac-Moody and Virasoro Characters from the Perturbative Chern-Simons Path Integral
• Poincaré Series, 3d Gravity and Averages of Rational CFT
• Gravitational dual of averaged free CFT's over the Narain lattice
• Averaging over moduli in deformed WZW models
• Quantizing higher-spin gravity in free-field variables
• Narain CFTs and Quantum Codes at Higher Genus
• Classical Codes and Chiral CFTs at Higher Genus
• AdS${}_3$ Gravity and RCFT Ensembles with Multiple Invariants
• Conical spaces, modular invariance and $c_{p,1}$ holography
• Partition Functions of Chern-Simons Theory on Handlebodies by Radial Quantization
• Wormhole calculus without averaging from $O(N{)}^{q-1}$ tensor model
• Weighed average over Narain moduli space as $T\bar{T}$ deformation of CFT target space

Cited by in corpus (2)

• TQFT gravity and ensemble holography
• Global Symmetries, Code Ensembles, and Sums Over Geometries