Finite representations of a quiver arising from string theory

Details Finite representations of a quiver arising from string theory Finite representations of a quiver arising from string theory

2005-07-15

arxiv.org/abs/math/0507316v1

Mathematics

Algebraic Geometry

Scientific paper

Inspired by Cachazo, Katz and Vafa (``Geometric transitions and $\mathcal {N}=1$ quiver theories'' (hep-th/0108120)), we examine representations of ``${N}=1$ 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.

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