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Conformal bootstrap, universality and gravitational scattering

Author(s): Jackson, Steven; McGough, Lauren; Verlinde, Herman L.

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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 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.
Publication Date: Dec-2015
Electronic Publication Date: 2-Nov-2015
Citation: Jackson, Steven, McGough, Lauren, Verlinde, Herman. (2015). Conformal bootstrap, universality and gravitational scattering. NUCLEAR PHYSICS B, 901 (382 - 429). doi:10.1016/j.nuclphysb.2015.10.013
DOI: doi:10.1016/j.nuclphysb.2015.10.013
ISSN: 0550-3213
EISSN: 1873-1562
Pages: 382 - 429
Type of Material: Journal Article
Journal/Proceeding Title: NUCLEAR PHYSICS B
Version: Final published version. This is an open access article.

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