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arXiv · 2111.11279

Phases of Euclidean wormholes in JT gravity

Hemant Rathi·Dibakar Roychowdhury
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Abstract

We present a JT gravity set up that reveals the evidence of (Euclidean) wormhole to black hole phase transition at finite charge density and/or chemical potential. We identify the low temperature phase of the system as the charged wormhole solution. As the temperature of the system is increased, it undergoes a first order phase transition to a two black hole system at finite charge density. At the critical point ($T = T_0$) of the phase transition, both the Free energy (density) and the charge undergoes a discontinuous change. Finally, we conjectured that the field theory dual to this gravitational set up is a two-site (uncoupled) complex SYK model at a finite chemical potential.

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Hemant Rathi, Dibakar Roychowdhury. 2021-11-22. Phases of Euclidean wormholes in JT gravity. https://doi.org/10.1016/j.nuclphysb.2023.116315

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