We propose a measure of quantum state complexity defined by minimizing the spread of the
wave function over all choices of basis. Our measure is controlled by the “survival amplitude” …

A bstract Chaos and complexity entail an entropic and computational obstruction to
describing a system, and thus are intrinsically difficult to characterize. In this paper, we …

A bstract We study the spectral properties of two classes of random matrix models: non-
Gaussian RMT with quartic and sextic potentials, and RMT with Gaussian noise. We …

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 We examine the question how string theory achieves a sum over bulk geometries
with fixed asymptotic boundary conditions. We discuss this problem with the help of the …

A bstract A class of tensor models were recently outlined as potentially calculable examples
of holography: their perturbative large-N behavior is similar to the Sachdev-Ye-Kitaev (SYK) …

A bstract We perform a detailed study of perturbations around 2-charge circular fuzz-balls
and compare the results with the ones obtained in the case of 'small'BHs. In addition to the …

We develop a new hybrid WKB technique to compute boundary-to-boundary scalar Green
functions in asymptotically-AdS backgrounds in which the scalar wave equation is separable …

A bstract We present a complete symmetry classification of the Sachdev-Ye-Kitaev (SYK)
model with\(\mathcal {N}\)= 0, 1 and 2 supersymmetry (SUSY) on the basis of the Altland …

A bstract AdS 2 plays an extremely important role in black-hole physics. We construct
several infinite families of supergravity solutions that are asymptotically AdS 2 in the UV, and …