We review recent developments (up to January 2004) of the Liouville field theory and its
matrix model dual. This review consists of two parts. In part I, we review the bosonic Liouville …

Some approaches to 2D gravity which have been developed in the last few years are
reviewed. They are physical (Liouville) gravity, topological theories and matrix models …

Recently, Saad et al. showed how to define the genus expansion of Jackiw-Teitelboim (JT)
quantum gravity in terms of a double-scaled Hermitian matrix model. However, the model's …

We develop techniques to compute multi-instanton corrections to the 1/N expansion in
matrix models described by orthogonal polynomials. These techniques are based on finding …

It is proposed that a complete understanding of two-dimensional quantum gravity and its
emergence in random matrix models requires fully embracing {\it both} Wigner (statistics) …

A bstract Recent work has shown that certain deformations of the scalar potential in Jackiw-
Teitelboim gravity can be written as double-scaled matrix models. However, some of the …

A bstract We study ZZ instanton corrections in the (2, 4k)\(\mathcal {N}\)= 1 minimal
superstring theory with the type 0B GSO projection, which becomes the type 0B\(\mathcal …

Resurgent-transseries solutions to Painleve equations may be recursively constructed out of
these nonlinear differential-equations--but require Stokes data to be globally defined over …

Two remarkable facts about Jackiw–Teitelboim (JT) two-dimensional dilaton-gravity have
been recently uncovered: this theory is dual to an ensemble of quantum mechanical …

We advocate a new approach to the study of unitary matrix models in external fields which
emphasizes their relationship to generalized Kontsevich models (GKM's) with …