Modular crossings, OPE coefficients and black holes

Abstract

In (1+1)-d CFTs, the 4-point function on the plane can be mapped to the pillow geometry and thereby crossing symmetry gets translated into a modular property. We use these modular features to derive a universal asymptotic formula for OPE coefficients in which one of the operators is averaged over heavy primaries. The coarse-grained heavy channel then reproduces features of the gravitational 2-to-2 S-matrix which has black holes as their intermediate states.

6 pages and a pillow; v3 : approximates published version

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Cited by in corpus (32)

• Quantum Regge Trajectories and the Virasoro Analytic Bootstrap
• Universal Dynamics of Heavy Operators in CFT${}_2$
• Probing thermality beyond the diagonal
• ETH and Modular Invariance of 2D CFTs
• Analytic Euclidean Bootstrap
• Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
• Typicality and thermality in 2d CFT
• Tauberian-Cardy formula with spin
• Non-Gaussianities in the Statistical Distribution of Heavy OPE Coefficients and Wormholes
• Beurling-Selberg Extremization and Modular Bootstrap at High Energies
• OPE statistics from higher-point crossing
• Wormholes and Spectral Statistics in the Narain Ensemble
• Bounds on the density of states and the spectral gap in CFT${}_2$
• Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography
• Generalized Spectral Form Factors and the Statistics of Heavy Operators
• Universality in asymptotic bounds and its saturation in $2$D CFT
• Quantum thermalization and Virasoro symmetry
• BMS Characters and Modular Invariance
• Lightcone Modular Bootstrap and Tauberian Theory: A Cardy-like Formula for Near-extremal Black Holes
• Light-state Dominance from the Conformal Bootstrap
• Virasoro blocks and quasimodular forms
• Aspects of the S transformation Bootstrap
• Virasoro blocks at large exchange dimension
• Universality in the OPE Coefficients of Holographic 2d CFTs
• Universal Dynamics in Non-Orientable CFT${}_2$
• Quantum many-body physics from a gravitational lens
• Modular linear differential equations for four-point sphere conformal blocks
• Holographic Black Hole Formation and Scrambling in Time-Ordered Correlators
• Universal fine grained asymptotics of free and weakly coupled Quantum Field Theory
• Four-point correlation modular bootstrap for OPE densities
• Virasoro conformal bootstrap with $c>1$
• A Reverse Black Hole Information Problem