Models of phase stability in Jackiw-Teitelboim gravity

Abstract

We construct solutions within Jackiw-Teitelboim (JT) gravity in the presence of nontrivial couplings between the dilaton and the Abelian $1$-form where we analyse the asymptotic structure as well as the phase stability corresponding to charged black hole solutions in $1+1$ D. We consider the Almheiri-Polchinski (AP) model as a specific example within $1+1$ D JT gravity which plays a pivotal role in the study of Sachdev-Ye-Kitaev (SYK)/anti-de Sitter (AdS) duality. The corresponding vacuum solutions exhibit a rather different asymptotic structure than their uncharged counterpart. We find interpolating vacuum solutions with AdS${}_2$ in the IR and Lifshitz${}_2$ in the UV with dynamical exponent $z_{\text{dyn}}=3/2$. Interestingly, the presence of charge also modifies the black hole geometry from asymptotically AdS to asymptotically Lifshitz with same value of the dynamical exponent. We consider specific examples, where we compute the corresponding free-energy and explore the thermodynamic phase stability associated with charged black hole solutions in $1+1$ D. Our analysis reveals the existence of a universal thermodynamic feature that is expected to reveal its immediate consequences on the dual SYK physics at finite density and strong coupling.

arXiv commentLATEX, 28 pages, 4 figures plus appendices, references updated; version accepted for publication in PRD

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• Jackiw-Teitelboim Gravity in the Second Order Formalism
• JT gravity and the models of Hawking-Page transition for 2D black holes
• Exact Solutions of (deformed) Jackiw-Teitelboim Gravity
• $Ad{S}_2$ holography and ModMax
• Matching partition functions of deformed JT gravity and the cSYK model
• Color decorations of Jackiw-Teitelboim gravity
• Phase Transition in JT Gravity and $T\bar{T}$ Deformation
• Holographic JT gravity with quartic couplings