Dilaton-gravity, deformations of the minimal string, and matrix models

TL;DR

This paper explores the holographic duality between two-dimensional dilaton-gravity theories with defects and matrix models, extending previous results to include a broader class of potentials and defects, and connecting to minimal string theories.

Contribution

It demonstrates that certain dilaton-gravity theories with conical defects are equivalent to the large p limit of deformed minimal string theories, broadening the scope of holographic dualities.

Findings

Dilaton-gravity theories with defects are dual to matrix integrals.

Extended the duality to include a wider class of dilaton potentials.

Connected these theories to the large p limit of deformed minimal string models.

Abstract

A large class of two-dimensional dilaton-gravity theories in asymptotically AdS$_2$ spacetimes are holographically dual to a matrix integral, interpreted as an ensemble average over Hamiltonians. Viewing these theories as Jackiw-Teitelboim gravity with a gas of defects, we extend this duality to a broader class of dilaton potentials compared to previous work by including conical defects with small deficit angles. In order to do this we show that these theories are equal to the large $p$ limit of a natural deformation of the $(2,p)$ minimal string theory.