Strings, Gauge Fields and Membranes

TL;DR

This paper explores the deep connections between string theory, D-branes, and three-dimensional quantum field theories, discussing both successes and open challenges in understanding their dynamics.

Contribution

It provides an overview of how string and D-brane dynamics relate to gauge and gravitational fields in three dimensions, highlighting recent progress and open problems.

Findings

Relationship between string/D-brane dynamics and 3D gauge/gravity fields

Summary of successes in 3D string theory descriptions

Identification of open problems in nonperturbative regimes

Abstract

We present an overview of the intimate relationship between string and D-brane dynamics, and the dynamics of gauge and gravitational fields in three spacetime dimensions. The successes, prospects and open problems in describing both perturbative and nonperturbative aspects of string theory in terms of three-dimensional quantum field theory are highlighted.