These lectures give an introduction to the quantum physics of black holes, including recent
developments based on quantum information theory such as the firewall paradox and its …

We highlight the progress, current status, and open challenges of QCD-driven physics, in
theory and in experiment. We discuss how the strong interaction is intimately connected to a …

We revisit two-dimensional holography with the Sachdev-Ye-Kitaev models in mind. Our
main result is to rewrite a generic theory of gravity near a two-dimensional anti-de Sitter …

We show how recent progress in real space renormalization group methods can be used to
define a generalized notion of holography inspired by holographic dualities in quantum …

Building on earlier work in the high energy and condensed matter communities, we present
a web of dualities in 2+ 1 dimensions that generalize the known particle/vortex duality. Some …

We study the constraints of crossing symmetry and unitarity in general 3D conformal field
theories. In doing so we derive new results for conformal blocks appearing in four-point …

The locality of bulk physics at distances below the AdS length scale is one of the remarkable
aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be …

A bstract We study the torus partition functions of free bosonic CFTs in two dimensions.
Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the …

A bstract We consider several aspects of unitary higher-dimensional conformal field theories
(CFTs). We first study massive deformations that trigger a flow to a gapped phase. Deep …

We discuss a realization of the nonrelativistic conformal group (the Schrödinger group) as
the symmetry of a spacetime. We write down a toy model in which this geometry is a solution …