D-Branes on Toric Calabi-Yau Varieties

dc.creatorAspinwall, Paul S.
dc.date2008-06-16
dc.date2009-05-13
dc.date.accessioned2026-07-07T13:13:49Z
dc.date.available2026-07-07T13:13:49Z
dc.descriptionWe 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.
dc.description28 pages, counterexample to global tilting set added, refs added, conventions made more sane
dc.identifierhttps://arxiv.org/abs/0806.2612
dc.identifierhttp://arxiv.org/abs/0806.2612
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230018
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleD-Branes on Toric Calabi-Yau Varieties
dc.typetext

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