Remarks on the Convergence Properties of the Conformal Block Expansion
arXiv:1510.08486 · doi:10.1016/j.physletb.2016.01.004
Abstract
We show how to refine conformal block expansion convergence estimates from hep-th/1208.6449. In doing so we find a novel explicit formula for the 3d conformal blocks on the real axis.
12pp
References in corpus (3)
Cited by in corpus (38)
- The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
- The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
- A Mellin space approach to the conformal bootstrap
- Conformal Bootstrap in Mellin Space
- Defects in conformal field theory
- A scaling theory for the long-range to short-range crossover and an infrared duality
- A tauberian theorem for the conformal bootstrap
- Crossing Symmetry in Alpha Space
- On the Polyakov-Mellin bootstrap
- Solving M-theory with the Conformal Bootstrap
- Mellin space bootstrap for global symmetry
- Analytic Euclidean Bootstrap
- Truncatable bootstrap equations in algebraic form and critical surface exponents
- Bootstrapping critical Ising model on three-dimensional real projective space
- A Note on (Non)-Locality in Holographic Higher Spin Theories
- Dimensional Reduction for Conformal Blocks
- Celestial Blocks and Transverse Spin in the Three-Point Energy Correlator
- Dispersion relations and exact bounds on CFT correlators
- Radial coordinates for defect CFTs
- Universal Asymptotics for High Energy CFT Data
- Conformal 3-point functions and the Lorentzian OPE in momentum space
- Scale Anomalies, States, and Rates in Conformal Field Theory
- On non-supersymmetric conformal manifolds: field theory and holography
- On correlation functions of BPS operators in superconformal theories
- Inverse Bootstrapping Conformal Field Theories
- Convergent Momentum-Space OPE and Bootstrap Equations in Conformal Field Theory
- The unitary subsector of generalized minimal models
- Non-gaussianity of the critical 3d Ising model
- Extremal bootstrapping: go with the flow
- Graviton Scattering and a Sum Rule for the c Anomaly in 4D CFT
- New method for the conformal bootstrap with OPE truncations
- Reflections on Conformal Spectra
- Positive geometry in the diagonal limit of the conformal bootstrap
- Light-state Dominance from the Conformal Bootstrap
- Holographic relations for OPE blocks in excited states
- Recursive construction of the operator product expansion in curved space
- Quantum Information Approaches to Quantum Gravity
- Analytic Studies of Fermions in the Conformal Bootstrap