On Free Energy for Deformed JT Gravity

Abstract

In this paper, we study a particular deformation of the Jackiw-Teitelboim gravity recently considered by Maxfield, Turiaci and independently by Witten. We will compute the partition function of this model as well as its higher order correlators to all orders in genus expansion in the low temperature limit for small perturbations. In this limit, the results match with those obtained from the Airy limit of a Hermitian random matrix ensemble. Using this result, we will also study the free energy of the model. One observes that although the annealed free energy has pathological behaviors, under certain assumptions, the quenched free energy evaluated by replica trick exhibits the desired properties at low temperatures.

arXiv comment26 pages, 4 figures. fig.4 is updated. more explanations and clarifying comments about dual matrix model, more references, published version

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Cited by in corpus (21)

• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Euclidean wormhole in the SYK model
• Classifying boundary conditions in JT gravity: from energy-branes to $\alpha$-branes
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• On aspects of 2-dim dilaton gravity, dimensional reduction and holography
• Island may not save the information paradox of Liouville black holes
• Page Curve and Phase Transition in deformed Jackiw-Teitelboim Gravity
• Deformations of JT Gravity via Topological Gravity and Applications
• dS${}_2$ as excitation of AdS${}_2$
• Complexity via Replica Trick
• On the saturation of late-time growth of complexity in supersymmetric JT gravity
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• $T\overline{T}$-deformed free energy of the Airy model
• Equivalences between 2D dilaton gravities, their asymptotic symmetries, and their holographic duals
• Path integrals in JT gravity and Virasoro constraints
• Jackiw-Teitelboim Gravity Generates Horndeski via Disformal Transformations
• Classical Liouville Action and Uniformization of Orbifold Riemann Surfaces
• 't Hooft expansion of multi-boundary correlators in 2D topological gravity
• Replicas for Random Matrices
• Quenched free energy from spacetime D-branes
• Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities