Herman Verlinde

Matrix string theory

Via compactification on a circle, the matrix mode] of M-theory proposed by Banks et a]. suggests a concrete identification between the large N limit of two-dimensional N = 8 supersymmetric Yang-Mills theory and type IIA string theory. In this paper we collect evidence that supports this identification. We explicitly identify the perturbative string states and their interactions, and describe the appearance of D-particle and D-membrane states.

Topological strings in d < 1

We calculate correlation functions in minimal topological field theories. These twisted versions of N = 2 minimal models have recently been proposed to describe d < 1 matrix models, once coupled to topological gravity. In our calculation we make use of the Landau-Ginzburg formulation of the N = 2 models, and we find a direct relation between the Landau-Ginzburg superpotential and the KdV differential operator. Using this correspondence we show that the minimal topological models are in perfect agreement with the matrix models as solved in terms of the KdV hierarchy. This proves the equivalence at tree-level of topological and ordinary string thoery in d < 1.

On the holographic renormalization group

We propose a direct correspondence between the classical evolution equations of

String propagation in a black hole geometry

5-d

Loop equations and Virasoro constraints in non-perturbative two-dimensional quantum gravity

supergravity and the renormalization group (RG) equations of the dual

Elliptic genera of symmetric products and second quantized strings

4-d

The operator algebra of orbifold models

large

Loop and surface operators in N=2 gauge theory and Liouville modular geometry

N

Counting Dyons in N =4 String Theory

gauge theory. Using standard Hamilton-Jacobi theory, we derive first order flow equations for the classical supergravity action

Chiral Bosonization, Determinants and the String Partition Function

S