A numerical approach to Virasoro blocks and the information paradox

DOI10.1007/JHEP09(2017)102zbMath1382.81046arXiv1703.09727OpenAlexW2604322854WikidataQ112153865 ScholiaQ112153865MaRDI QIDQ1705976

Charles Hussong, Jared Kaplan, Daliang Li, Hong-Bin Chen

Publication date: 19 March 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09727

zbMATH Keywords

AdS-CFT correspondenceblack holes1/N expansionconformal and W symmetry

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Black holes (83C57) Quantization of the gravitational field (83C45) Space-time singularities, cosmic censorship, etc. (83C75) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (38)

The \(\mathrm{AdS}_{3}\) propagator and the fate of locality ⋮ Virasoro blocks and quasimodular forms ⋮ More on Wilson toroidal networks and torus blocks ⋮ Interactions resolve state-dependence in a toy-model of AdS black holes ⋮ New properties of large-\(c\) conformal blocks from recursion relation ⋮ Leading multi-stress tensors and conformal bootstrap ⋮ Conformal field theory and the web of quantum chaos diagnostics ⋮ Modular linear differential equations for four-point sphere conformal blocks ⋮ Spinning constraints on chaotic large $c$ CFTs ⋮ The most irrational rational theories ⋮ Late time Wilson lines ⋮ Resurgence, conformal blocks, and the sum over geometries in quantum gravity ⋮ Wilson networks in AdS and global conformal blocks ⋮ Toward null-state equations in \(d > 2\) ⋮ 2D CFT partition functions at late times ⋮ Integrability and black-hole microstate geometries ⋮ Conformal bootstrap in the Regge limit ⋮ Marginal deformations \& rotating horizons ⋮ CFT descriptions of bulk local states in the AdS black holes ⋮ Quantum thermalization and Virasoro symmetry ⋮ Multi-stress tensors and next-to-leading singularities in the Regge limit ⋮ Virasoro blocks at large exchange dimension ⋮ Light cone bootstrap in general 2D CFTs and entanglement from light cone singularity ⋮ Generalized Gibbs ensemble of 2d CFTs at large central charge in the thermodynamic limit ⋮ Thermalization in large-\(N\) CFTs ⋮ Renyi entropy for local quenches in 2D CFT from numerical conformal blocks ⋮ An exact operator that knows its location ⋮ Black holes from large N singlet models ⋮ Entanglement entropy, OTOC and bootstrap in 2D CFTs from Regge and light cone limits of multi-point conformal block ⋮ Universal lowest-twist in CFTs from holography ⋮ Large \(c\) Virasoro blocks from monodromy method beyond known limits ⋮ Probing universalities in \( d > 2 \) CFTs: from black holes to shockwaves ⋮ The bulk-to-boundary propagator in black hole microstate backgrounds ⋮ Quantum Regge trajectories and the Virasoro analytic bootstrap ⋮ A universal Schwarzian sector in two-dimensional conformal field theories ⋮ Clocks and rods in Jackiw-Teitelboim quantum gravity ⋮ Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models ⋮ CFT correlators, \(\mathcal{W}\)-algebras and generalized Catalan numbers

Uses Software

• gmp
• MPFR
• MPC

Cites Work

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• MPFR
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