Abstract
We study hat{mathrm{CGHS}} gravity, a variant of the matterless Callan-Giddings-Harvey-Strominger model. We show that it describes a universal sector of the near horizon perturbations of non-extremal black holes in higher dimensions. In many respects this theory can be viewed as a flat space analog of Jackiw-Teitelboim gravity. The result for the Euclidean path integral implies that hat{mathrm{CGHS}} is dual to a Gaussian ensemble that we describe in detail. The simplicity of this theory allows us to compute exact quantities such as the quenched free energy and provides a useful playground to study baby universes, averages and factorization. In particular we derive a “wormhole = diagonal” identity. We also give evidence for the existence of a non-perturbative completion in terms of a matrix model. Finally, flat wormhole solutions in this model are discussed.
Highlights
IntroductionA theory of dilaton gravity in two dimensions, known as Jackiw-Teitelboim (JT) gravity [1, 2], has been a useful tool in pushing forward our understanding of quantum black holes
Quantum black holes offer a glimpse into the inner workings of quantum gravity
The result for the Euclidean path integral implies that CGHS is dual to a Gaussian ensemble that we describe in detail
Summary
A theory of dilaton gravity in two dimensions, known as Jackiw-Teitelboim (JT) gravity [1, 2], has been a useful tool in pushing forward our understanding of quantum black holes This progress has happened on two different fronts as we have learned that there are two possible interpretations of JT gravity:. The first interpretation allows us to study the near horizon dynamics of generic black holes while the second gives us a simple model to study the gravitational path integral. In this introduction, divided in two parts to reflect the two interpretations mentioned above, we will review the context and briefly summarize the results of this work
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