We review recent progress in 2D gravity coupled to d< 1 conformal matter, based on a
representation of discrete gravity in terms of random matrices. We discuss the saddle point …

Colored tensor models have recently burst onto the scene as a promising conceptual and
computational tool in the investigation of problems of random geometry in dimension three …

Following the discovery of spacetime anomaly cancellation in 1984 [1], string theory has
undergone rapid development in several directions. The early hope of making direct contact …

We review the status of Liouville field theory and discuss the identification of states and
operators. The quantum theory has two kinds of states (and operators). Local operators …

We give a derivation of the loop equation for two-dimensional gravity from the KdV
equations and the string equation of the one-matrix model. We find that the loop equation is …

Written by the creator of the modern theory of random tensors, this book is the first self-
contained introductory text to this rapidly developing theory. Starting from notions familiar to …

We propose a nonperturbative definition of two-dimensional quantum gravity, based on a
double scaling limit of the random matrix model. We develop an operator formalism for …

Tensor models generalize random matrix models in yielding a theory of dynamical
triangulations in arbitrary dimensions. Colored tensor models have been shown to admit a …

String theory in two-dimensions Page 41 30 STRING THEORY IN TWO DIMENSIONS Igor R.
Klebanov* Joseph Henry Laboratories Princeton University Princeton, New Jersey 08544 …

The theory of matrix models is reviewed from the point of view of its relation to integrable
hierarchies. Discrete 1-matrix, 2-matrix,'conformal'(multicomponent) and Kontsevich models …