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Critical reflections on asymptotically safe gravity
Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field
theories, in particular for quantum gravity. Significant progress on this program has led to a …
theories, in particular for quantum gravity. Significant progress on this program has led to a …
Entanglement entropy: holography and renormalization group
Entanglement entropy plays a variety of roles in quantum field theory, including the
connections between quantum states and gravitation through the holographic principle. This …
connections between quantum states and gravitation through the holographic principle. This …
Generalized entropy for general subregions in quantum gravity
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 …
theories of Einstein gravity coupled to matter in the GN→ 0 limit. When the subregion is …
The Ryu–Takayanagi formula from quantum error correction
I argue that a version of the quantum-corrected Ryu–Takayanagi formula holds in any
quantum error-correcting code. I present this result as a series of theorems of increasing …
quantum error-correcting code. I present this result as a series of theorems of increasing …
Quantum corrections to holographic entanglement entropy
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 …
the gravity description, the leading order contribution comes from the area of a minimal …
Quantum focusing conjecture
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 …
theorem. Given a surface σ that need not lie on a horizon, we define a finite generalized …
Entanglement equilibrium and the Einstein equation
A link between the semiclassical Einstein equation and a maximal vacuum entanglement
hypothesis is established. The hypothesis asserts that entanglement entropy in small …
hypothesis is established. The hypothesis asserts that entanglement entropy in small …
Local subsystems in gauge theory and gravity
A bstract We consider the problem of defining localized subsystems in gauge theory and
gravity. Such systems are associated to spacelike hypersurfaces with boundaries and …
gravity. Such systems are associated to spacelike hypersurfaces with boundaries and …
TASI Lectures on the Emergence of the Bulk in AdS/CFT
These lectures review recent developments in our understanding of the emergence of local
bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field …
bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field …
Remarks on entanglement entropy for gauge fields
In gauge theories the presence of constraints can obstruct expressing the global Hilbert
space as a tensor product of the Hilbert spaces corresponding to degrees of freedom …
space as a tensor product of the Hilbert spaces corresponding to degrees of freedom …