The Nonperturbative Hilbert Space of Quantum Gravity With One Boundary

Abstract

We discuss a basis for the nonperturbative Hilbert space of quantum gravity with one asymptotic boundary. We use this basis to show that the Hilbert space for gravity with two disconnected boundaries factorizes into a product of two copies of the single boundary Hilbert space.

Comments: 42 pages, 28 figures ; v2: citation update ; v3: minor clarifications