Topological Quiver Matrix Models and Quantum Foam
arXiv:0705.2250
Abstract
We study the matrix models that describe the BPS bound states of branes arising from the quiver picture of the derived category. These theories have a topological partition function that localizes to the Euler character of the anti-ghost bundle over the classical BPS moduli space. We examine the effective internal geometry of D6/D2 bound states in the local vertex geometry, using BPS 0-brane probes. The Kahler blowups of the Calabi-Yau that we find utilizing these quiver theories are a realization of A-model quantum foam in the full IIA theory.
28 pages, 5 figures
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- Quiver Matrix Model and Topological Partition Function in Six Dimensions
- N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background
- Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
- Torsion and Supersymmetry in Omega-background
- N=4 Instanton Calculus in Omega and R-R Backgrounds
- M theory and the Coulomb phase of higher rank DT invariants
- Quiver matrix model of ADHM type and BPS state counting in diverse dimensions