On the geometry of quiver gauge theories (Stacking exceptional collections)
arXiv:hep-th/0605177
Abstract
In this paper we advance the program of using exceptional collections to understand the gauge theory description of a D-brane probing a Calabi-Yau singularity. To this end, we strengthen the connection between strong exceptional collections and fractional branes. To demonstrate our ideas, we derive a strong exceptional collection for every Y^{p,q} singularity, and also prove that this collection is simple.
arXiv comment28 pages; v2 clarifications made to section 2
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Cited by in corpus (8)
- Quantization of Fayet-Iliopoulos Parameters in Supergravity
- Wall Crossing, Quivers and Crystals
- On the noncommutative geometry of square superpotential algebras
- B-branes and supersymmetric quivers in 2d
- General aspects of heterotic string compactifications on stacks and gerbes
- Geometric engineering of (framed) BPS states
- Geometry of Particle Physics
- Derived categories and stacks in physics