Semi-classical Virasoro blocks: proof of exponentiation

DOI10.1007/JHEP01(2020)109zbMath1434.81095arXiv1910.04169WikidataQ126317194 ScholiaQ126317194MaRDI QIDQ2185318

Shouvik Datta, Per Kraus, Mert Besken

Publication date: 4 June 2020

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

Full work available at URL: https://arxiv.org/abs/1910.04169

zbMATH Keywords

conformal field theoryfield theories in lower dimensionsconformal and W symmetry

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)

Related Items (20)

Virasoro blocks and quasimodular forms ⋮ Finite temperature corrections to black hole quasinormal modes from 2D CFT ⋮ Liouville theory and the Weil-Petersson geometry of moduli space ⋮ Resurgence, conformal blocks, and the sum over geometries in quantum gravity ⋮ Bootstrapping closed string field theory ⋮ Entanglement and geometry from subalgebras of the Virasoro algebra ⋮ Toward null-state equations in \(d > 2\) ⋮ Example of 4-pt non-vacuum \(\mathcal{W}_3\) classical block ⋮ Stress tensor sector of conformal correlators operators in the Regge limit ⋮ Multi-stress tensors and next-to-leading singularities in the Regge limit ⋮ Holographic variables for \(\mathrm{CFT}_2\) conformal blocks with heavy operators ⋮ Virasoro blocks at large exchange dimension ⋮ Large-\(c\) conformal \((n\leq 6)\)-point blocks with superlight weights and holographic Steiner trees ⋮ Monodromy methods for torus conformal blocks and entanglement entropy at large central charge ⋮ Semi-classical BMS-blocks from the oscillator construction ⋮ Correlation functions in finite temperature CFT and black hole singularities ⋮ Accessory parameters in confluent Heun equations and classical irregular conformal blocks ⋮ Operator growth in 2d CFT ⋮ Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models ⋮ A slow review of the AGT correspondence

Cites Work

• On combinatorial expansion of the conformal blocks arising from AGT conjecture
• Holographic entanglement entropy from 2d CFT: heavy states and local quenches
• Conformal bootstrap in Liouville field theory
• Analytic continuation of Liouville theory
• Liouville correlation functions from four-dimensional gauge theories
• Quantum geometry and quiver gauge theories
• Virasoro conformal blocks in closed form
• Virasoro conformal blocks and thermality from classical background fields
• Quantum thermalization and Virasoro symmetry

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