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D4-branes on Complete Intersection in Toric Variety

2006/12/29 by Davide Gaiotto, Gaiotto, Davide, Lisa Huang +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0612295

8 pages;v2:small typos fixed,references added

arxiv created 2007/01/14 · arxiv updated 2009/12/01

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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