Finite Representations of a Quiver Arising from String Theory

نویسنده

  • XINYUN ZHU
چکیده

Inspired by Cachazo, Katz and Vafa (“Geometric transitions and 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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تاریخ انتشار 2008