A bstract Entanglement entropy obeys a 'first law', an exact quantum generalization of the
ordinary first law of thermodynamics. In any CFT with a semiclassical holographic dual, this …

We formulate the variational problem for AdS gravity with Dirichlet boundary conditions and
demonstrate that the covariant counterterms are necessary to make the variational problem …

We obtain the Lifshitz UV completion in a specific model for z= 2 Lifshitz geometries. We use
a vielbein formalism which enables identification of all the sources as leading components …

A bstract The Brown-York stress tensor provides a means for defining quasilocal
gravitational charges in subregions bounded by a timelike hypersurface. We consider the …

We present a detailed discussion of AdS_3 black holes and their connection to two-
dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on …

A bstract For a specific action supporting z= 2 Lifshitz geometries we identify the Lifshitz UV
completion by solving for the most general solution near the Lifshitz boundary. We identify …

We develop a general framework for constructing charges associated with diffeomorphisms
in gravitational theories using covariant phase space techniques. This framework …

We describe a new class of boundary conditions for AdS d+ 1 under which the boundary
metric becomes a dynamical field. The key technical point is to show that contributions from …

These notes are a transcript of lectures given by the author in the XVIII Modave summer
school in mathematical physics. The introduction is devoted to a detailed review of the …

We show that asymptotically locally Lifshitz space–times are holographically dual to field
theories that exhibit Schrödinger invariance. This involves a complete identification of the …