Rademacher expansions and the spectrum of 2d CFT

DOI10.1007/JHEP11(2020)134zbMath1456.81347arXiv2001.00022MaRDI QIDQ2658178

Jin-Beom Bae, Luis F. Alday

Publication date: 18 March 2021

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

Full work available at URL: https://arxiv.org/abs/2001.00022

zbMATH Keywords

conformal field theoryfield theories in lower dimensionsconformal and W symmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Other Dirichlet series and zeta functions (11M41)

Related Items (15)

Comments on the holographic description of Narain theories ⋮ On the spectrum of pure higher spin gravity ⋮ Scalar modular bootstrap and zeros of the Riemann zeta function ⋮ Harmonic analysis of 2d CFT partition functions ⋮ Conformal field theories with sporadic group symmetry ⋮ The path integral of 3D gravity near extremality; \textit{or}, JT gravity with defects as a matrix integral ⋮ Free partition functions and an averaged holographic duality ⋮ Discreteness and integrality in conformal field theory ⋮ Partition functions of the tensionless string ⋮ \(\mathrm{AdS}_3\) gravity and random CFT ⋮ Poincaré series, 3d gravity and averages of rational CFT ⋮ Wormholes and spectral statistics in the Narain ensemble ⋮ Spectral form factor for free large \(N\) gauge theory and strings ⋮ Aspects of three-dimensional higher curvature gravities ⋮ Narain to Narnia

Cites Work

• Universal spectrum of 2d conformal field theory in the large \(c\) limit
• Quantum gravity partition functions in three dimensions
• Rademacher sums, moonshine and gravity
• A universal inequality for CFT and quantum gravity
• Operator content of two-dimensional conformally invariant theories
• Light cone bootstrap in general 2D CFTs and entanglement from light cone singularity
• Constraints on 2d CFT partition functions
• Black hole entropy from near-horizon microstates
• On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's \(\omega\)(\(q\))
• Modular constraints on conformal field theories with currents
• Poincaré series, 3D gravity and CFT spectroscopy
• Modular bootstrap revisited
• Pure gravity and conical defects
• Modular invariance, Tauberian theorems and microcanonical entropy
• Quantum corrections to the BTZ black hole extremality bound from the conformal bootstrap
• Sphere packing and quantum gravity
• Quantum Regge trajectories and the Virasoro analytic bootstrap
• A class of non-holomorphic modular forms. I
• Integer partitions, probabilities and quantum modular forms
• On the expansion of the partition functions in a series
• Rademacher Sums and Rademacher Series
• Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group
• STACKS (II)

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