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arxiv 2407.06860 v1 pith:SBVZIOQ2 submitted 2024-07-09 hep-th gr-qc

Post AdS/CFT

classification hep-th gr-qc
keywords anti-declassicalconformalsitterbackgroundchaoschaoticcombined
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Hamiltonian governing the gravitational interaction of N relativistic particles in a four-dimensional anti-de Sitter background is derived to leading order in Newton's constant. The resulting pairwise interactions, combined with the confining nature of motion in anti-de Sitter spacetime, are expected to lead to classical chaos. In the context of the AdS/CFT correspondence, the emergence of a chaotic classical limit on the gravity side has important implications for the dual three-dimensional conformal field theory, including that the spectrum of conformal primary operators at strong coupling should exhibit level repulsion in line with the Wigner surmise.

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Cited by 1 Pith paper

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    Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matr...