Fractional branes on ALE orbifolds

Abstract

We derive the classical type IIB supergravity solution describing fractional D3-branes transverse to a C2/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.

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