A bstract We study the theory of Jackiw-Teitelboim gravity with generalized dilaton potential on Euclidean two-dimensional negatively curved backgrounds. The effect is to induce a conical defect manifold. show that this can be written as ordinary quantum mechanics charged particle hyperbolic disk in presence constant background magnetic field plus pure gauge Aharonov-Bohm field. This picture al...

We investigate the ABJ anomaly in the framework of an effective field theory for a 3-brane scenario and show that the contribution from induced gravity on the brane depends on both the topological structure of the bulk space-time and the embedding of the brane in the bulk. This fact implies the existence of a non-trivial vacuum structure of bulk quantum gravity. Furthermore, we argue that this ...

The Jackiw-Teitelboim gravity with the matter degrees of freedom is considered. The classical model is exactly solvable and its solutions describe non-trivial gravitational scattering of matter wave-packets. For huge amount of the solutions the scattering space-times are free of curvature singularities. However, the quantum corrections to the field equations inevitably cause the formation of (t...

A bstract Quantum extremal surfaces (QES), codimension-2 spacelike regions which extremize the generalized entropy of a gravity-matter system, play key role in study black hole information problem. The thermodynamics QESs, however, has been largely unexplored, as proper interpretation requires detailed understanding backreaction due to quantum fields. We investigate this problem semi-classical ...