Emergent Symmetries in Ensemble Averages

arXiv:2609.36542 · hep-th, cond-mat.stat-mech, cond-mat.str-el, quant-ph · Submitted 2026-09-29 · Read on arXiv

hep-th, cond-mat.stat-mech, cond-mat.str-el, quant-ph

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Symmetry Breaking — 11× in this paper · explained in 3 episodes
• Anyons — 10× in this paper · explained in 2 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 4 episodes
• Antiferromagnetism — 1× in this paper · explained in 1 episode
• Clustering — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Holonomy — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Topological Order — 1× in this paper · explained in 2 episodes

Sources

• Symmetries and Strings in Field Theory and Gravity
• Constraints on symmetry from holography
• Symmetries in quantum field theory and quantum gravity
• A violation of global symmetries from replica wormholes and the fate of black hole remnants
• JT Gravity and the Ensembles of Random Matrix Theory
• Free partition functions and an averaged holographic duality
• Averaging Over Narain Moduli Space
• AdS$_3$ gravity and random CFT
• AdS$_3$ wormholes from a modular bootstrap
• JT gravity as a matrix integral
• Gravitational dual of averaged free CFT's over the Narain lattice
• Narain to Narnia
• Chern-Simons Invariants from Ensemble Averages
• Averaging over moduli in deformed WZW models
• Wormholes and Spectral Statistics in the Narain Ensemble
• Generalized Narain Theories Decoded: Discussions on Eisenstein series, Characteristics, Orbifolds, Discriminants and Ensembles in any Dimension
• Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
• Disorder Averaging and its UV (Dis)Contents
• Duality Origami: Emergent Ensemble Symmetries in Holography and Swampland
• Symmetries and topological operators, on average

Related papers

• Entanglement Wedge Reconstruction Beyond the Large N Limit via the Twirled Petz Map
• Horizons and Soft Quantum Information
• Energy Transmission Across Holographic Conformal Interfaces in General Dimensions
• Why Cooper pairs live in AdS2: a spectral analysis of the Yukawa-SYK model
• The Schrodinger Equation as a Gauge Theory
• Inflation with vector fields revisited: non-Gaussianities