Mirror of the refined topological vertex from a matrix model

Details Mirror of the refined topological vertex from a matrix model Mirror of the refined topological vertex from a matrix model

2011-07-26

arxiv.org/abs/1107.5181v1

Physics

High Energy Physics

High Energy Physics - Theory

pdflatex, 35 pages, 32 figures

Scientific paper

We find an explicit matrix model computing the refined topological vertex, starting from its representation in terms of plane partitions. We then find the spectral curve of that matrix model, and thus the mirror symmetry of the refined vertex. With the same method we also find a matrix model for the strip geometry, and we find its mirror curve. The fact that there is a matrix model shows that the refined topological string amplitudes also satisfy the remodeling the B-model construction.

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