Periodic Schur Process, Cylindric Partitions and N=2* Theory

Details Periodic Schur Process, Cylindric Partitions and N=2* Theory Periodic Schur Process, Cylindric Partitions and N=2* Theory

2009-03-05

arxiv.org/abs/0903.0961v3

Physics

High Energy Physics

High Energy Physics - Theory

17 Pages

Scientific paper

Type IIA string theory compactified on an elliptic CY3-fold gives rise to N=2 U(1) gauge theory with an adjoint hypermultiplet. We study the refined open and closed topological string partition functions of this geometry using the refined topological vertex. We show that these partition functions, open and closed, are examples of periodic Schur process and are related to the generating function of the cylindric partitions if the Kahler parameters are quantized in units of string coupling. The level-rank duality appears as the exchange symmetry of the two Kahler parameters of the elliptic CY3-fold.

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