Chaos in Celestial CFT

Abstract

Celestial holography proposes a duality between gravitational scattering in asymptotically flat space-time and a conformal field theory living on the celestial sphere. Its dictionary relates the infinite dimensional space-time symmetry group to Ward identities of the CFT. The spontaneous breaking of these asymptotic symmetries governs the dynamics of the soft sector in the CFT. Here we show that this sector encodes non-trivial backreaction effects that exhibit characteristics of maximal quantum chaos. A key element in the derivation is the identification of the Hilbert space of celestial CFT, defined through radial quantization, with that of a constantly accelerating Rindler observer. From the point of view of the bulk, Rindler particles exhibit Lyapunov behavior due to shockwave interactions that shift the observer horizon. From the point of view of the boundary, the superrotation Goldstone modes affect the relevant representations of the celestial Virasoro symmetry in a manner that induces Lyapunov behavior of out-of-time-ordered celestial correlators.

29 pages, 6 figures

References in corpus (17)

• Lectures on Celestial Amplitudes
• Gluon Amplitudes as 2d Conformal Correlators
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Symmetries of Celestial Amplitudes
• Celestial Amplitudes from UV to IR
• $(2,2)$ Scattering and the Celestial Torus
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• Conformal Block Expansion in Celestial CFT
• Shifting Spin on the Celestial Sphere
• Superrotations and Black Hole Pair Creation
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• Conformal Blocks from Celestial Gluon Amplitudes
• Gravity from symmetry: Duality and impulsive waves
• State-Operator Correspondence in Celestial Conformal Field Theory
• Infinite towers of supertranslation and superrotation memories
• HPS meets AMPS: How Soft Hair Dissolves the Firewall

Cited by in corpus (8)

• Wedge Holography in Flat Space and Celestial Holography
• A Comment on Loop Corrections to the Celestial Stress Tensor
• Celestial Recursion
• Celestial Geometry
• A Tale of Two Butterflies: An Exact Equivalence in Higher-Derivative Gravity
• Mapping SYK to the Sky
• A Shorter Path to Celestial Currents
• Entanglement Rényi entropies in celestial holography