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D4-branes on Complete Intersection in Toric Variety

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arxiv hep-th/0612295 v2 pith:ROYTBCC3 submitted 2006-12-29 hep-th

classification hep-th
keywords d4-branesbranchcalabi-yaud4-branedescribesgaugehiggsquiver
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider D4-branes on toric Calabi-Yau spaces. The quiver gauge theory that describes several D4-branes on the Calabi-Yau has a Higgs branch, that describes configurations of a single large D4-brane with the same charges. We propose that the world volume of such a D4-brane is described by a determinantal variety. We discuss a description of the Higgs branch of the moduli space in terms of a quiver with twice as many nodes and only bifundamental fields, arising from a $D6-\bar{D}6$ system. We recast the tachyon condensation of the $D6-\bar{D}6$ system in the language of open string gauge linear sigma model.

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