Solving Four Dimensional Field Theories with the Dirichlet Fivebrane

TL;DR

This paper demonstrates how four-dimensional ${ m N}=2$ super Yang-Mills theories can be realized and analyzed using a single Dirichlet fivebrane in type IIB string theory, reproducing quantum effects through classical brane computations.

Contribution

It shows that the low energy effective action of ${ m N}=2$ super Yang-Mills theories can be derived from classical brane configurations, linking string theory and quantum field theory.

Findings

Classical brane computations reproduce quantum low energy effective actions.

Mirror symmetry provides a simple explanation for the results.

The approach offers a geometric understanding of ${ m N}=2$ theories.

Abstract

The realization of ${\cal N}=2$ four dimensional super Yang-Mills theories in terms of a single Dirichlet fivebrane in type IIB string theory is considered. A classical brane computation reproduces the full quantum low energy effective action. This result has a simple explanation in terms of mirror symmetry.