The Levy SYK model is solved exactly at large N, with mu tuning the system from free theory at mu=0 to the standard maximally chaotic SYK at mu=2.
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Double-scaled fermionic and bosonic embedded ensembles are equivalent to double-scaled complex SYK and solvable via the Wick product of non-commuting Gaussian random variables, yielding a duality to the chord Hilbert space.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
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Solving L\'{e}vy Sachdev-Ye-Kitaev Model
The Levy SYK model is solved exactly at large N, with mu tuning the system from free theory at mu=0 to the standard maximally chaotic SYK at mu=2.
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Double-scaled bosonic and fermionic embedded ensembles, complex SYK, and the dual Hilbert space
Double-scaled fermionic and bosonic embedded ensembles are equivalent to double-scaled complex SYK and solvable via the Wick product of non-commuting Gaussian random variables, yielding a duality to the chord Hilbert space.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.