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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Integrability from 2d N = (2,2) dualities
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Integrability from 2d N = (2,2) dualities

机译:2d N =(2,2)对偶性的可积性

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摘要

We study integrable models in the context of the recently discovered Gauge/YBE correspondence, where the Yang-Baxter equation (YBE) is promoted to a duality between two supersymmetric gauge theories. We study flavored elliptic genus of 2d N = (2, 2) quiver gauge theories, which are defined from statistical lattices regarded as quiver diagrams. Our R-matrices are written in terms of theta functions and simplify considerably when the gauge groups at the quiver nodes are Abelian. We also discuss the modularity properties of the R-matrix, reduction of 2d index to 1d Witten index, and string theory realizations of our theories.
机译:我们在最近发现的Gauge / YBE对应关系的背景下研究可积模型,其中Yang-Baxter方程(YBE)被提升为两个超对称规范理论之间的对偶。我们研究2d N =(2,2)颤动量规理论的加味椭圆形属,它们是从被视为颤动图的统计格中定义的。我们的R矩阵是根据theta函数编写的,当颤振节点处的规范组为Abelian时,R矩阵将大大简化。我们还将讨论R矩阵的模块化特性,将2d索引减少到1d Witten索引以及我们理论的字符串理论实现。

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