D-branes, Quivers, and ALE Instantons
High Energy Physics - Theory
2008-02-03 v1 alg-geom
Algebraic Geometry
Abstract
Effective field theories in type I and II superstring theories for D-branes located at points in the orbifold C^2/Z_n 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.
Cite
@article{arxiv.hep-th/9603167,
title = {D-branes, Quivers, and ALE Instantons},
author = {Michael R. Douglas and Gregory Moore},
journal= {arXiv preprint arXiv:hep-th/9603167},
year = {2008}
}
Comments
50 pages, 11 figures, harvmac/epsf