In this review we describe our current understanding of the properties of open string
tachyons on an unstable D-brane or brane–antibrane system in string theory. The various …

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 …

We suggest a means of obtaining certain Green's functions in 3+ 1-dimensional N= 4
supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory …

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 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 …

We show that B-model topological strings on local Calabi–Yau threefolds are large-N duals
of matrix models, which in the planar limit naturally give rise to special geometry. These …

A bstract We continue the study of the Sachdev-Ye-Kitaev model in the Large N limit.
Following our formulation in terms of bi-local collective fields with dynamical …

We consider string theory in the background of the two-dimensional black hole as described
by the SL (2, R)/U (1) coset theory recently untroduced by Witten. We study the spectrum of …

We present an exact one-parameter family of solutions to the classical graviton-dilaton
system in two dimensions. The solution can be identified as a black hole. We present the …

The free energy of the maximally supersymmetric SU (N) gauge theory at temperature T is
expected to scale, in the large-N limit, as N2T4 times a function of the't Hooft coupling, f …