Finite representations of a quiver arising from string theory
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
Abstract
Inspired by Cachazo, Katz and Vafa (``Geometric transitions and quiver theories'' (hep-th/0108120)), we examine representations of `` quivers'' arising from string theory. We derive some mathematical consequences of the physics, and show that these results are a natural extension of Gabriel's ADE theorem. Extending the usual ADE case that relates quiver representations to curves on surfaces, we relate these new quiver representations to curves on threefolds.
Cite
@article{arxiv.math/0507316,
title = {Finite representations of a quiver arising from string theory},
author = {Xinyun Zhu},
journal= {arXiv preprint arXiv:math/0507316},
year = {2007}
}