N=2 Gauge theories on systems of fractional D3/D7 branes

TL;DR

This paper investigates fractional D3/D7-brane bound states in string theory, constructing their classical backgrounds and demonstrating that the gauge theory on a probe D3-brane matches the expected N=2 supersymmetric behavior with fundamental matter.

Contribution

It provides a detailed boundary state analysis of fractional D3/D7-branes and derives the classical background, linking string theory configurations to four-dimensional N=2 gauge theories.

Findings

Higher order twisted field terms are necessary for the zero-force condition.

The gauge theory on a probe D3-brane reproduces perturbative N=2 supersymmetric behavior.

Constructed boundary actions for the fractional D3/D7-brane system.

Abstract

We study a bound state of fractional D3/D7-branes in the ten-dimensional space R^{1,5}*R^{4}/Z_2 using the boundary state formalism. We construct the boundary actions for this system and show that higher order terms in the twisted fields are needed in order to satisfy the zero-force condition. We then find the classical background associated to the bound state and show that the gauge theory living on a probe fractional D3-brane correctly reproduces the perturbative behavior of a four-dimensional N=2 supersymmetric gauge theory with fundamental matter.