Non-Perturbative 2-Dimensional String Theory

TL;DR

This paper reviews the non-perturbative formulation of 2-dimensional string theory using non-relativistic fermions, deriving bosonization, exploring classical limits, and discussing applications like black-hole solutions.

Contribution

It introduces a bosonization approach via $W_$ coherent states and clarifies the connection between fermionic and collective field descriptions in 2D string theory.

Findings

Derivation of bosonization using $W_$ coherent states

Analysis of classical limits and truncation to collective field theory

Discussion of classical solutions related to non-perturbative effects and black holes

Abstract

We review some aspects of the non-perturbative formulation of 2-dim. string theory in terms of non-relativistic fermions. We derive the bosonization using $W_\infty$ coherent states in the path-integral formulation. We discuss the classical limit and indicate the precise nature of the truncation of the full theory that leads to collective field theory. As applications we briefly discuss classical solutions reponsible for stringy non-perturbative effects and the 2-dim. black-hole.