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 $D6-\bar{D}6$ system. We recast the tachyon condensation of the $D6-\bar{D}6$ system in the language of open string gauge linear sigma model.

8 pages;v2:small typos fixed,references added

References in corpus (9)

• Phases of $N=2$ Theories In Two Dimensions
• D-branes, Quivers, and ALE Instantons
• SO(32) Spinors of Type I and Other Solitons on Brane-Antibrane Pair
• D-Branes, Derived Categories, and Grothendieck Groups
• Derived Categories and Zero-Brane Stability
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Cited by in corpus (3)

• D-brane Deconstructions in IIB Orientifolds
• Magnetized E3-brane instantons in F-theory
• TASI lectures on complex structures