Paul S. Aspinwall and Ilarion V. Melnikov JHEP12(2004)042 doi:10.1088/1126-6708/2004/12/042
D-branes on vanishing del Pezzo surfaces
Paul S. Aspinwall1 and Ilarion V. Melnikov1
Show affiliationsWe analyze in detail the case of a marginally stable D-Brane on a collapsed del Pezzo surface in a Calabi-Yau threefold using the derived category of quiver representations and the idea of aligned gradings. We show how the derived category approach to D-branes provides a straight-forward and rigorous construction of quiver gauge theories associated to such singularities. Our method shows that a procedure involving exceptional collections used elsewhere in the literature is only valid if some tachyon-inducing Ext3 groups are zero. We then analyze in generality a large class of Seiberg dualities which arise from tilting equivalences. It follows that some (but not all) mutations of exceptional collections induce Seiberg duality in this context. The same tilting equivalence can also be used to remove unwanted Ext3 groups and convert an unphysical quiver into a physical one.
- Keywords
- PACS
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11.27.+d Extended classical solutions; cosmic strings, domain walls, texture
- Subjects
- Dates
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Issue 12 (December 2004)
Received 14 October 2004, accepted for publication 17 December 2004
Published 21 January 2005
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D-branes on vanishing del Pezzo surfaces
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