D-Brane Realization of N=2 Super Yang-Mills Theory in Four Dimensions

TL;DR

This paper constructs a D-brane model within type IIB string theory to realize four-dimensional N=2 super Yang-Mills theory, revealing exact relationships between gauge theory prepotentials and string interactions, and describing monopoles via brane configurations.

Contribution

It introduces a novel D-brane setup for 4D N=2 super Yang-Mills theory, connecting string theory compactifications with gauge theory prepotentials and monopole configurations.

Findings

One-loop prepotential equals classical closed string exchange.

Monopoles correspond to D5-branes wrapping K3.

Duality with heterotic string on K3×T^2.

Abstract

We develop and study a D-brane realization of 4D N=2 super Yang-Mills theory. It is a type IIB string theory compactified on R^6\times K3 and containing parallel 7-branes. It can also be regarded as a subsector of Vafa's F-theory compactified on K3\times K3 and is thus dual to the heterotic string on K3\times T^2. We show that the one-loop prepotential in this gauge theory is exactly equal to the interaction produced by classical closed string exchange. A monopole configuration corresponds to an open Dirichlet 5-brane wrapping around K3 with ends attached to two 7-branes.