Refining the Shifted Topological Vertex

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 14 pages, 2 figures. To appear in Jour Math Phys

Scientific paper

10.1063/1.3040186

We study aspects of the refining and shifting properties of the 3d MacMahon function $\mathcal{C}_{3}(q) $ used in topological string theory and BKP hierarchy. We derive the explicit expressions of the shifted topological vertex $\mathcal{S}_{\lambda \mu \nu}(q) $ and its refined version $\mathcal{T}_{\lambda \mu \nu}(q,t) $. These vertices complete results in literature.

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