周期Schur过程、无规分拆与N=2 ~* 理论
Periodic Schur Process, Cylindric Partitions and N=2* Theory
摘要：
IIA型弦论在椭圆CY 3-折叠上的紧化产生了N=2 U（1）的具有伴随超多重态的规范理论.我们利用精化拓扑顶点研究了这种几何的精化开和闭拓扑弦配分函数。我们表明，这些配分函数，开放和关闭，是周期Schur过程的例子，并与生成函数的圆柱形分区，如果Kahler参数量子化的单位弦耦合。水平秩对偶表现为椭圆CY 3-折叠的两个Kahler参数的交换对称性。
英文摘要：
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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