Abstract The Sachdev–Ye–Kitaev (SYK) model is a strongly coupled, quantum many-body
system that is chaotic, nearly conformally invariant, and exactly solvable. This remarkable …

We study a quantum-mechanical model proposed by Sachdev, Ye and Kitaev. The model
consists of N Majorana fermions with random interactions of a few fermions at a time. It it …

A bstract The SYK model: fermions with a q-body, Gaussian-random, all-to-all interaction, is
the first of a fascinating new class of solvable large N models. We generalize SYK to include …

A bstract We continue the study of the Sachdev-Ye-Kitaev model in the Large N limit.
Following our formulation in terms of bi-local collective fields with dynamical …

We study charge diffusion in holographic scaling theories with a particle-hole symmetry. We
show that these theories have a universal regime in which the diffusion constant is given by …

We review recent developments encompassing the description of quantum chaos in
holography. We discuss the characterization of quantum chaos based on the late time …

A bstract The IP matrix model is a simple large N quantum mechanical model made up of an
adjoint harmonic oscillator plus a fundamental harmonic oscillator. It is a model introduced …

A bstract The SYK model, a quantum mechanical model of N≫ 1 Majorana fermions χ i, with
a q-body, random interaction, is a novel realization of holography. It is known that the AdS 2 …

A bstract Pole skip** is a recently discovered subtle effect in the thermal energy density
retarded two point function at a special point in the complex (ω, p) planes. We propose that …

A bstract Thermal states of quantum systems with many degrees of freedom are subject to a
bound on the rate of onset of chaos, including a bound on the Lyapunov exponent, λ L≤ …