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.
Highlights
Unlike our general expectations from the anti–de Sitter (AdS)/CFT correspondence, it was argued by [1] that JackiwTeitelboim (JT) gravity [2,3] is dual to a Hermitian random matrix model
We have considered a particular deformation of JT gravity whose dual theory is shown to be a Hermitian random matrix model [16,17]
As we have seen in the previous section, the deformed JT gravity at low temperatures could be described by a matrix model in the Airy limit, in which the corresponding matrix model is controlled by the universal behavior of the edge of the classical density of eigenvalues
Summary
Unlike our general expectations from the AdS/CFT correspondence, it was argued by [1] that JackiwTeitelboim (JT) gravity [2,3] is dual to a Hermitian random matrix model. Recent progress in the context of black hole information paradox indicates that these two quantities are not equal due to contributions of Euclidean replica wormholes [4,5] In this case, a better definition of gravitational path integral with multiple disconnected boundaries may be given in terms of an ensemble average [6]. We will first suggest a matrix model based on “minimal strings” as a possible dual to the deform JT gravity which could capture certain nonperturbative information about deformed JT gravity Using this dual description we will compute the quenched free energy at low temperatures where we find that it exhibits the desired behavior.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
