D-Branes on Toric Calabi-Yau Varieties

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We analyze B-type D-branes on noncompact toric Calabi--Yau spaces. A general program is presented to find a set of tilting line bundles that yields the associated quiver and its relations. In many cases, this set remains fixed as one moves between phases in the Kähler moduli space. This gives a particularly simple picture of how the derived category remains invariant across all phases. The combinatorial problems involving local cohomology used to determine the tilting set are also related to questions of Pi-stability as one moves between phases. As a result, in some cases precisely those line bundles in the tilting set remain stable over the whole moduli space in some sense.
28 pages, counterexample to global tilting set added, refs added, conventions made more sane

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High Energy Physics - Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/230018

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.2612
 http://arxiv.org/abs/0806.2612

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arXiv