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arxiv: 2012.01620 · v1 · pith:BC5OAOGU · submitted 2020-12-03 · hep-th · cond-mat.str-el

An obstacle to sub-AdS holography for SYK-like models

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classification hep-th cond-mat.str-el
keywords branchingmodelstimeholographysub-adssyk-likeapproximationsargue
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We argue that "stringy" effects in a putative gravity-dual picture for SYK-like models are related to the branching time, a kinetic coefficient defined in terms of the retarded kernel. A bound on the branching time is established assuming that the leading diagrams are ladders with thin rungs. Thus, such models are unlikely candidates for sub-AdS holography. In the weak coupling limit, we derive a relation between the branching time, the Lyapunov exponent, and the quasiparticle lifetime using two different approximations.

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

  1. Thermal two-point functions in SYK and complex-time singularities

    hep-th 2026-07 conditional novelty 6.0

    The large-N SYK thermal two-point function exhibits complex-time singularities—an effective-temperature pole and a subleading bouncing-geodesic-like singularity—that persist from infinite to zero temperature.