We review recent developments in Jackiw–Teitelboim gravity. This is a simple solvable
model of quantum gravity in two dimensions (that arises eg from the s-wave sector of higher …

We generalize the recently discovered relationship between JT gravity and double-scaled
random matrix theory to the case that the boundary theory may have time-reversal symmetry …

A bstract Krylov complexity measures the spread of the wavefunction in the Krylov basis,
which is constructed using the Hamiltonian and an initial state. We investigate the evolution …

A bstract We expand on our results in [1] to present a broad new class of gravitational
observables in asymptotically Anti-de Sitter space living on general codimension-zero …

A bstract There are various definitions of the concept of complexity in Quantum Field Theory
as well as for finite quantum systems. For several of them there are conjectured holographic …

Quantum black holes are described by a large number of macroscopically indistinguishable
microstates. Correlation functions of fields outside the horizon at long time separation probe …

A bstract We study some aspects of the de Sitter version of Jackiw-Teitelboim gravity.
Though we do not have propagating gravitons, we have a boundary mode when we …

A bstract The concepts of operator size and computational complexity play important roles in
the study of quantum chaos and holographic duality because they help characterize the …

A bstract We study a precise and computationally tractable notion of operator complexity in
holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and …

A bstract We revisit the complexity= action proposal for charged black holes. We investigate
the complexity for a dyonic black hole, and we find the surprising feature that the late-time …