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Topological Quiver Matrix Models and Quantum Foam
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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.
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Gauge Origami and BPS/CFT correspondence
The gauge origami partition function on C4 is realized as a correlation function of BPS qq-character operators, with D6 and D8 characters labeled by plane and solid partitions.
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