Fractional branes on ALE orbifolds

TL;DR

This paper derives a supergravity solution for fractional D3-branes on ALE orbifolds, providing insights into the dual N=2 gauge theories with specific gauge groups and matter content.

Contribution

It presents the first explicit classical supergravity solution for fractional D3-branes on ALE orbifolds with arbitrary Kleinian ADE groups, linking string theory to gauge theory data.

Findings

Supergravity solution explicitly describes fractional D3-branes on ALE orbifolds.

Connects supergravity backgrounds to N=2 gauge theories with specific gauge groups.

Includes non-perturbative instanton effects in the gauge theory description.

Abstract

We derive the classical type IIB supergravity solution describing fractional D3-branes transverse to a C^2/Gamma orbifold singularity, for Gamma any Kleinian ADE subgroup. This solution fully describes the N=2 gauge theory with appropriate gauge groups and matter living on the branes, up to non-perturbative instanton contributions.