Key points are not available for this paper at this time.
Effective field theories in type I and II superstring theories for D-branes located at points in the orbifold C²/Zₙ are supersymmetric gauge theories whose field content is conveniently summarized by a `quiver diagram, ' and whose Lagrangian includes non-metric couplings to the orbifold moduli: in particular, twisted sector moduli couple as Fayet-Iliopoulos terms in the gauge theory. These theories describe D-branes on resolved ALE spaces. Their spaces of vacua are moduli spaces of smooth ALE metrics and Yang-Mills instantons, whose metrics are explicitly computable. For U (N) instantons, the construction exactly reproduces results of Kronheimer and Nakajima.
Douglas et al. (Tue,) studied this question.