Abstract
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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ArXiv ePrint: 2012.01620
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Zhang, P., Gu, Y. & Kitaev, A. An obstacle to sub-AdS holography for SYK-like models. J. High Energ. Phys. 2021, 94 (2021). https://doi.org/10.1007/JHEP03(2021)094
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DOI: https://doi.org/10.1007/JHEP03(2021)094