Bootstrapping the spectral function: on the uniqueness of Liouville and the universality of BTZ

DOI10.1007/JHEP09(2018)150zbMath1398.81202arXiv1702.00423OpenAlexW3098352250WikidataQ106730136 ScholiaQ106730136MaRDI QIDQ1797373

Xi Yin, Petr Kravchuk, Scott Collier, Ying-Hsuan Lin

Publication date: 19 October 2018

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

Full work available at URL: https://arxiv.org/abs/1702.00423

zbMATH Keywords

conformal field theoryAdS-CFT correspondencefield 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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (30)

Classical conformal blocks and accessory parameters from isomonodromic deformations ⋮ String theory on \(AdS_3\) and the symmetric orbifold of Liouville theory ⋮ Bootstrapping boundaries and branes ⋮ More on pure gravity with a negative cosmological constant ⋮ Recursive representations of arbitrary Virasoro conformal blocks ⋮ The \( c=1 \) string theory S-matrix revisited ⋮ Conformal bootstrap deformations ⋮ Heavy-heavy-light-light correlators in Liouville theory ⋮ Black holes from CFT: universality of correlators at large \(c\) ⋮ Carving out the end of the world or (superconformal bootstrap in six dimensions) ⋮ Bootstrapping \(\mathcal{N} = 4\) super-Yang-Mills on the conformal manifold ⋮ Analyticity in spin in conformal theories ⋮ A numerical approach to Virasoro blocks and the information paradox ⋮ Charged structure constants from modularity ⋮ Universal dynamics of heavy operators in \(\mathrm{CFT}_2\) ⋮ Conformal four-point correlation functions from the operator product expansion ⋮ Liouville quantum gravity ⋮ Light cone bootstrap in general 2D CFTs and entanglement from light cone singularity ⋮ Casimir recursion relations for general conformal blocks ⋮ Weight shifting operators and conformal blocks ⋮ Constraints on flavored 2d CFT partition functions ⋮ Spheres, charges, instantons, and bootstrap: a five-dimensional odyssey ⋮ Entanglement entropy, OTOC and bootstrap in 2D CFTs from Regge and light cone limits of multi-point conformal block ⋮ Discreteness and integrality in conformal field theory ⋮ Crossing, modular averages and \(N \leftrightarrow k\) in WZW models ⋮ Quantum corrections to the BTZ black hole extremality bound from the conformal bootstrap ⋮ Fast conformal bootstrap and constraints on 3d gravity ⋮ Quantum Regge trajectories and the Virasoro analytic bootstrap ⋮ New methods for conformal correlation functions ⋮ Analytic bootstrap in 2D boundary conformal field theory: towards braneworld holography

Uses Software

• SDPB

Cites Work

• Bootstrapping the \(O\)(\(N\) ) vector models
• Universal spectrum of 2d conformal field theory in the large \(c\) limit
• Quantum gravity partition functions in three dimensions
• Bounds on 4D conformal and superconformal field theories
• A universal inequality for CFT and quantum gravity
• \( \mathcal{N} =4 \) superconformal bootstrap of the \(K3\) CFT
• Constraints on 2d CFT partition functions
• Bounding scalar operator dimensions in 4D CFT
• Classical and quantum conformal field theory
• Two- and three-point functions in Liouville theory
• Bootstrap, universality and horizons
• Bootstrapping \( \mathcal{N}=2 \) chiral correlators
• Accidental symmetries and the conformal bootstrap
• The \( \mathcal{N}=2 \) superconformal bootstrap
• Bootstrapping 2D CFTs in the semiclassical limit
• Exact correlators of BPS operators from the 3d superconformal bootstrap
• Modular bootstrap revisited
• Conformal bootstrap in Liouville field theory
• Solving the 3d Ising model with the conformal bootstrap. II: \(c\)-minimization and precise critical exponents
• Bootstrapping the \(O\)(\(N\)) archipelago
• Liouville theory revisited
• TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS
• Black hole in three-dimensional spacetime

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