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arXiv · 1012.3228

Refined matrix models from BPS counting

Piotr Sułkowski
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Abstract

We construct a free fermion and matrix model representation of refined BPS generating functions of D2 and D0 branes bound to a single D6 brane, in a class of toric manifolds without compact four-cycles. In appropriate limit we obtain a matrix model representation of refined topological string amplitudes. We consider a few explicit examples which include a matrix model for the refined resolved conifold, or equivalently five-dimensional U(1) gauge theory, as well as a matrix representation of the refined MacMahon function. Matrix models which we construct have ordinary unitary measure, while their potentials are modified to incorporate the effect of the refinement.

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Piotr Sułkowski. 2010-12-15. Refined matrix models from BPS counting. https://doi.org/10.1103/physrevd.83.085021

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