Modular constraints on conformal field theories with currents

DOI10.1007/JHEP12(2017)045zbMath1383.81177arXiv1708.08815OpenAlexW2752103553MaRDI QIDQ1707713

Jin-Beom Bae, Jaewon Song, Sungjay Lee

Publication date: 3 April 2018

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

Full work available at URL: https://arxiv.org/abs/1708.08815

zbMATH Keywords

field theories in lower dimensionsnonperturbative effectsconformal and W symmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)

Related Items (20)

Rademacher expansions and the spectrum of 2d CFT ⋮ Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms ⋮ Bound on asymptotics of magnitude of three point coefficients in 2D CFT ⋮ Bootstrapping boundaries and branes ⋮ On classification of fermionic rational conformal field theories ⋮ The most irrational rational theories ⋮ Scalar modular bootstrap and zeros of the Riemann zeta function ⋮ Narain CFTs and quantum codes at higher genus ⋮ Contour integrals and the modular \(\mathcal{S}\)-matrix ⋮ Modular constraints on superconformal field theories ⋮ Constraints on flavored 2d CFT partition functions ⋮ Free partition functions and an averaged holographic duality ⋮ Discreteness and integrality in conformal field theory ⋮ Crossing, modular averages and \(N \leftrightarrow k\) in WZW models ⋮ Wronskian indices and rational conformal field theories ⋮ Scalar CFTs and their large N limits ⋮ Sphere packing and quantum gravity ⋮ Fast conformal bootstrap and constraints on 3d gravity ⋮ Monster anatomy ⋮ Classifying three-character RCFTs with Wronskian index equalling 0 or 2

Uses Software

• GAP
• SDPB

Cites Work

• Unnamed Item
• Characters of the \(W_{3}\) algebra
• Universal spectrum of 2d conformal field theory in the large \(c\) limit
• Modular constraints on Calabi-Yau compactifications
• Nonlinear W\({}_{\infty}\) as asymptotic symmetry of three-dimensional higher spin AdS gravity
• Quantization of the Drinfel'd-Sokolov reduction.
• A universal inequality for CFT and quantum gravity
• Bounds for state degeneracies in 2D conformal field theory
• Hidden SL(n) symmetry in conformal field theories
• \( \mathcal{N} =4 \) 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
• Lie algebras and equations of Korteweg-de Vries type
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Infinite conformal symmetry in two-dimensional quantum field theory
• Bootstrap, universality and horizons
• On 2d conformal field theories with two characters
• Modular properties of characters of the \(W_3\) algebra
• Two-dimensional RCFT's without Kac-Moody symmetry
• Universal bounds on charged states in 2d CFT and 3d gravity
• Bootstrapping 2D CFTs in the semiclassical limit
• Constraints on higher spin \(\mathrm{CFT}_{2}\)
• A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance
• Modular bootstrap revisited
• The sextonions and \(E_{7\frac12}\)
• Genus two modular bootstrap
• Universal bounds in even-spin CFTs
• Bootstrapping chiral CFTs at genus two
• A natural representation of the Fischer-Griess Monster with the modular function J as character
• On the Number of Zeros of a Stationary Gaussian Random Trigonometric Polynomial
• Exceptional Vertex Operator Algebras and the Virasoro Algebra

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