
TL;DR
This paper explores the critical behavior of JT gravity by analyzing hyperbolic surfaces with defects, revealing a phase transition that affects the universal features like the density of states.
Contribution
It introduces a new framework connecting random hyperbolic surfaces with defects to critical phenomena in JT gravity, defining the phase transition in geometric terms.
Findings
Identification of non-generic criticality in hyperbolic surfaces
Interpolation between different density of states behaviors
Connection between geometric defects and phase transitions in JT gravity
Abstract
In this paper, we investigate a critical behavior of JT gravity, a model of two-dimensional quantum gravity on constant negatively curved spacetimes. Our approach involves using techniques from random maps to investigate the generating function of Weil--Petersson volumes, which count random hyperbolic surfaces with defects. The defects are weighted geodesic boundaries, and criticality is reached by tuning the weights to the regime where macroscopic holes emerge in the hyperbolic surface, namely \textit{non-generic criticality}. We analyze the impact of this critical regime on some universal features, such as its density of states. We present a family of models that interpolates between systems with and , which are commonly found in models of JT gravity coupled to dynamical end-of-the-world and FZZT branes, and give a precise…
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Taxonomy
TopicsSuperconducting Materials and Applications · Spacecraft and Cryogenic Technologies
