We introduce a framework for quantifying random matrix behavior
of 2d CFTs and AdS3 quantum gravity. This is anchored by a 2d CFT
trace formula, analogous to the Gutzwiller trace formula for
chaotic quantum systems. We use this framework to...
The Bekenstein bound posits a maximum entropy for matter with
finite energy confined to a spacetime region. It is often
interpreted as a fundamental limit on the information that can be
stored by physical objects. In this work, we test this...
Obtaining a description of cosmology is a central open problem
in holography. Studying simple models can help us gain insight on
the generic properties of holographic cosmologies. In this talk I
will describe the construction of entangled...
Building on the work of Turiaci and Witten who proposed the
perturbative (in genus) matrix model of N=2 JT supergravity, a
non-perturbative definition has been constructed using
scaled orthogonal polynomial technology similar to that
used for...
Motivated by recent observations in double-scaled SYK (DSSYK),
this talk will feature work in progress analyzing holography on a
non-commutative analogue of the hyperbolic disk known as the
quantum disk. I will briefly review hints of non...
We propose a non-perturbative construction of the bulk Hilbert
space of JT gravity. Within this Hilbert space, we can
non-perturbatively define and study observables that probe the
black hole interior. To exemplify the power of this construction,
we...
We study closed cosmologies in simple models of two dimensional
gravity.
We show that there are stark contrast as well as connections
between
semi-classical and non-perturbative aspects of the theory of
closed
universes.
The complexity of a quantum system is a concept of fundamental
interest in quantum information, quantum computing, and, more
recently, in the study of quantum black holes. In this talk, I will
present three notions of complexity for learning and...
In this talk I will discuss a novel mechanism that couples
matter fields to three-dimensional quantum gravity. This
construction is based on the Chern-Simons formulation of
three-dimensional gravity, and it centers on a collection of Wilson
loops...
I will review asymptotically isometric codes - a tool to take
the large-N limit in holographic theories, allowing for non-trivial
von Neumann algebras to act on the code as well as on the physical
Hilbert space. I will then discuss a relationship...
