An obstacle to sub-AdS holography for SYK-like models
Keyword(s):
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.
1993 ◽
Vol 50
(21)
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pp. 3504-3522
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2018 ◽
Vol 122
(15)
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pp. 8082-8093
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1987 ◽
Vol 87
(6)
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pp. 3611-3617
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2001 ◽
Vol 16
(supp01c)
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pp. 1277-1280
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