Sulkowski, P.

English

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 refinemen

International Migration, Integration and Social Cohesion online publications

Refined matrix models from BPS counting

https://pure.uva.nl/ws/files/30751789/1012.3228v1.pdf

Refined matrix models from BPS counting

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International Migration, Integration and Social Cohesion online publications