Announcing the summer trimester: Spin systems and phases of matter
Kick-off event at the Institut Henri Poincaré on Wednesday 04/06/2025. Infos and registration: https://indico.math.cnrs.fr/e/sspm
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byAbstract:
In this talk, I will present JT gravity, a model of two-dimensional quantum gravity on constant negatively curved spacetimes, as a model of random hyperbolic surfaces. By studying the generating function of volumes of random hyperbolic surfaces with defects, i.e. weighted geodesic boundaries, we explore critical regimes where the surfaces develop macroscopic holes. This is reminiscent of the O(N) model for random maps. We analyse the impact of this critical behavior on the density of states of the theory at the boundary, and we present a family of models that interpolate between systems with \( \sqrt{E} \) and \( E^{3/2} \), which are commonly found in models of JT Gravity coupled to dynamical end-of-the-world and FZZT branes.