D4-branes on Complete Intersection in Toric Variety
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-D6 system. We recast the tachyon condensation of the D6-D6 system in the language of open string gauge linear sigma model.
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