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...
Recent works by Chandrasekaran, Penington and Witten have shown
in various special contexts that the quantum-corrected
Ryu-Takayanagi (RT) formula can be understood as computing an
entropy on an algebra of bulk observables. These arguments do
not...
Spacetime inversion symmetries such as parity and time reversal
play a central role in physics, but they are usually treated as
global symmetries. In quantum gravity there are no global
symmetries, so any spacetime inversion symmetries must be
gauge...
I'll explain joint work in progress with Abbondandolo and Kang
concerning the Clarke dual action functional of convex domains and
pseudoholomorphic planes. In dimension 4, I'll explain applications
to the knot types of periodic Reeb orbits.
