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Conformal Bootstrap, Universality and Gravitational Scattering

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arxiv 1412.5205 v2 pith:XISYAY5Q submitted 2014-12-16 hep-th

classification hep-th
keywords scatteringblackalgebrabootstrapconformalgravitationalholeparticles
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We use the conformal bootstrap equations to study the non-perturbative gravitational scattering between infalling and outgoing particles in the vicinity of a black hole horizon in AdS. We focus on irrational 2D CFTs with large $c$ and only Virasoro symmetry. The scattering process is described by the matrix element of two light operators (particles) between two heavy states (BTZ black holes). We find that the operator algebra in this regime is (i) universal and identical to that of Liouville CFT, and (ii) takes the form of an exchange algebra, specified by an R-matrix that exactly matches with the scattering amplitude of 2+1 gravity. The R-matrix is given by a quantum 6j-symbol and the scattering phase by the volume of a hyperbolic tetrahedron. We comment on the relevance of our results to scrambling and the holographic reconstruction of the bulk physics near black hole horizons.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow

    hep-th 2024-12 conditional novelty 7.0 of 10

    A framework called SymQRG identifies 3D quantum gravity as the symmetry-preserving RG flow of 2D CFTs, realized discretely by U_q(SL(2,R)) 6j symbols.

  2. A Holographic Map from AdS$_3$ to CFT$_2$

    hep-th 2026-07 conditional novelty 6.0 of 10

    Semiclassical pure AdS3 gravity states, labelled by fixed-area geodesic networks, are mapped to CFT2 primary states whose wavefunctions are networks of OPE coefficients.

  3. Global Symmetry and Maximal Chaos

    hep-th 2019-08 conditional novelty 6.0 of 10

    For arbitrary-high-charge operators in a system with a global symmetry and chemical potential, the chaos bound weakens to 2πT/(1-|μ/μ_c|), where μ_c is the critical chemical potential.

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