Conformal Collider Physics from the Lightcone Bootstrap

Abstract

We analytically study the lightcone limit of the conformal bootstrap equations for 4-point functions containing global symmetry currents and the stress tensor in 3d CFTs. We show that the contribution of the stress tensor to the anomalous dimensions of large spin double-twist states is negative if and only if the conformal collider physics bounds are satisfied. In the context of AdS/CFT these results indicate a relation between the attractiveness of AdS gravity and positivity of the CFT energy flux. We also study the contribution of non-Abelian conserved currents to the anomalous dimensions of double-twist operators, corresponding to the gauge binding energy of 2-particle states in AdS. We show that the representation of the double-twist state determines the sign of the gauge binding energy if and only if the coefficient appearing in the current 3-point function satisfies a similar bound, which is equivalent to an upper bound on the charge flux asymmetry of the CFT.

56 pages, 1 table

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• Dimensional Reduction for Conformal Blocks
• A New Spin on Causality Constraints
• Simplifying large spin bootstrap in Mellin space
• A Conformal Collider for Holographic CFTs
• Non-Abelian Binding Energies from the Lightcone Bootstrap
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• Scalar CFTs and Their Large N Limits
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• Degenerate Operators and the $1/c$ Expansion: Lorentzian Resummations, High Order Computations, and Super-Virasoro Blocks
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• Conformal manifolds: ODEs from OPEs
• More on analytic bootstrap for O(N) models
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• Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory
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• Higher Spin ANEC and the Space of CFTs
• Twist accumulation in conformal field theory. A rigorous approach to the lightcone bootstrap
• New Methods for Conformal Correlation Functions
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• Model-Dependence of Minimal-Twist OPEs in $d>2$ Holographic CFTs
• Towards a Bootstrap approach to higher orders of epsilon expansion
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• Charting the space of 3D CFTs with a continuous global symmetry
• Small Black Holes and Near-Extremal CFTs
• Double-Trace Flows and the Swampland
• AdS/CFT Unitarity at Higher Loops: High-Energy String Scattering
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• Lightcone expansions of conformal blocks in closed form
• Conformal Two-Point Correlation Functions from the Operator Product Expansion
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• The Inversion Formula and 6j Symbol for 3d Fermions
• A CFT Distance Conjecture
• Freedom near Lightcone and ANEC Saturation
• Factorized lightcone expansion of conformal blocks
• Entanglement Entropy and Conformal Collider Physics in 2D CFTs
• The CFT Distance Conjecture and Tensionless String Limits in $\mathcal{N}=2$ Quiver Gauge Theories
• Analytic Studies of Fermions in the Conformal Bootstrap
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