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Holographic Complexity Of Cold Hyperbolic Black Holes

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arxiv 1510.00349 v2 pith:LXL7B7CX submitted 2015-10-01 hep-th

classification hep-th
keywords blackholescomplexityholographichyperboliclargestatessystems
verification ladder T0 review T1 audit T2 compute T3 formal
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AdS black holes with hyperbolic horizons provide strong-coupling descriptions of thermal CFT states on hyperboloids. The low-temperature limit of these systems is peculiar. In this note we show that, in addition to a large ground state degeneracy, these states also have an anomalously large holographic complexity, scaling logarithmically with the temperature. We speculate on whether this fact generalizes to other systems whose extreme infrared regime is formally controlled by Conformal Quantum Mechanics, such as various instances of near-extremal charged black holes.

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  1. Three-loop onset of the wormhole length in DSSYK

    hep-th 2026-08 conditional novelty 6.0 of 10

    The wormhole-length onset L0 in DSSYK is derived in closed form through three loops, with new two- and three-loop coefficients from a new exact recursion.

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