An outstanding open issue in our quest for physics beyond Einstein is the unification of
general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading …

We review recent developments on the thermodynamics of black holes in extended phase
space, where the cosmological constant is interpreted as thermodynamic pressure and …

A bstract We consider quantum algebras of observables associated with subregions in
theories of Einstein gravity coupled to matter in the GN→ 0 limit. When the subregion is …

A bstract Motivated by recent studies of holographic complexity, we examine the question of
circuit complexity in quantum field theory. We provide a quantum circuit model for the …

A bstract We propose that holographic entanglement entropy can be calculated at arbitrary
orders in the bulk Planck constant using the concept of a “quantum extremal surface”: a …

A bstract We consider classical Euclidean gravity solutions with a boundary. The boundary
contains a non-contractible circle. These solutions can be interpreted as computing the trace …

A bstract We consider entanglement entropy in quantum field theories with a gravity dual. In
the gravity description, the leading order contribution comes from the area of a minimal …

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 …

A bstract We study two recent conjectures for holographic complexity: the complexity= action
conjecture and the complexity= volume conjecture. In particular, we examine the structure of …

We propose a universal inequality that unifies the Bousso bound with the classical focusing
theorem. Given a surface σ that need not lie on a horizon, we define a finite generalized …