Conformal bootstrap, universality and gravitational scattering

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• 作者：Steven Jackson ^{srjackso@princeton.edu" class="auth_mail" title="E-mail the corresponding author} ; Lauren McGough ^{mcgough@princeton.edu" class="auth_mail" title="E-mail the corresponding author} ; Herman Verlinde ; ^{verlinde@princeton.edu" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Nuclear Physics B
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：901
• 期：Complete
• 页码：382-429
• 全文大小：1080 K

文摘

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 e794e940c73b77a7c9666e44" title="Click to view the MathML source">2+1$2+1$ 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.