Abstract
We propose a CFT dual structure for quantum gravity and matter on the
extended BTZ black hole, realized as a quotient of the Poincare patch of AdS3.
The CFT is taken to "live" on the BTZ boundary, with components outside the
horizon as well as inside the singularity, the latter containing closed
timelike curves, and with different components connected by lightlike circles.
Much of the paper is concerned with making concrete non-perturbative sense of
these (at first sight) troubling features. After some massaging, we arrive at a
simple and natural generalization of the thermal density matrix and of
thermofield entanglement, to capture probes behind the horizon using specific
non-local observables. Our checks include re-deriving all tree-level BTZ bulk
and boundary effective field theory correlators, assuming only the standard
AdS/CFT duality on the Poincare patch. This is accomplished by reanalyzing the
Rindler view of standard AdS/CFT, followed by exploiting the simple quotient
structure of BTZ. We study the BTZ singularity in the Poincare patch
realization and show that, despite cancelations of divergences in correlators,
BTZ effective field theory does break down there. Our CFT dual proposal is
however manifestly UV-complete and well-defined, and clarifies the unified
nature of the singularity and the horizon.
Users
Please
log in to take part in the discussion (add own reviews or comments).