Refined matrix models from BPS counting

Details Refined matrix models from BPS counting Refined matrix models from BPS counting

2010-12-15

arxiv.org/abs/1012.3228v2

Phys.Rev.D83:085021,2011

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 4 figures, published version

Scientific paper

10.1103/PhysRevD.83.085021

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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