Deformations of JT gravity via topological gravity and applications

Journal of High Energy Physics

Alexandros Kanargias¹  Stefan Förste¹  Joshua Kames-King²  Hans Jockers³ 

[1] Bethe Center for Theoretical Physics and Physikalisches Institut der Universität Bonn, Nussallee 12, 53115, Bonn, Germany;Bethe Center for Theoretical Physics and Physikalisches Institut der Universität Bonn, Nussallee 12, 53115, Bonn, Germany;Kavli Institute for Theoretical Physics, University of California, 93106, Santa Barbara, CA, USA;PRISMA+ Cluster of Excellence and Institute for Physics, Johannes Guttenberg-Universität, Staudinger Weg 7, 55128, Mainz, Germany;

关键词: 2D Gravity;    AdS-CFT Correspondence;    Integrable Hierarchies;    Matrix Models;   

DOI  :  10.1007/JHEP11(2021)154

来源: Springer

【 摘 要 】

We study the duality between JT gravity and the double-scaled matrix model including their respective deformations. For these deformed theories we relate the thermal partition function to the generating function of topological gravity correlators that are determined as solutions to the KdV hierarchy. We specialise to those deformations of JT gravity coupled to a gas of defects, which conforms with known results in the literature. We express the (asymptotic) thermal partition functions in a low temperature limit, in which non-perturbative corrections are suppressed and the thermal partition function becomes exact. In this limit we demonstrate that there is a Hawking-Page phase transition between connected and disconnected surfaces for this instance of JT gravity with a transition temperature affected by the presence of defects. Furthermore, the calculated spectral form factors show the qualitative behaviour expected for a Hawking-Page phase transition. The considered deformations cause the ramp to be shifted along the real time axis. Finally, we comment on recent results related to conical Weil-Petersson volumes and the analytic continuation to two-dimensional de Sitter space.

【 授权许可】

CC BY