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.
A recent line of work has shown a surprising connection between
multicalibration, a multi-group fairness notion, and
omniprediction, a learning paradigm that provides simultaneous loss
minimization guarantees for a large family of loss functions...
Working intrinsically on a null hypersurface, we first show that
the Raychaudhuri constraint is the conservation law of a Carrollian
stress tensor. After suitably dressing the diffeomorphisms with the
internal boost symmetry, we derive the full...
Out of time ordered correlator(OTOC) is one signature of quantum
chaos. In certain large N systems, emergent scramblon-exchange
modes dominate, while scramblon interactions are suppressed by
1/N. However, we are going to discuss certain types of...
We discuss several different definitions of phase spaces
associated with horizons in general relativity, and the associated
symmetry groups and charges. For stationary horizons we
compute the symplectic form of the theory in terms of
independent...
Kerr or Reissner-Nordström black holes have inner horizons which
delineate the domain of predictability of solutions of wave
equation type. Often, though not e.g. for certain (A)deSitter black
holes, these inner horizons are classically dynamically...
