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arXiv · 1504.05540

Integrability from 2d N=(2,2) Dualities

Masahito Yamazaki·Wenbin Yan
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Abstract

We study integrable models in the context of the recently discovered Gauge/YBE correspondence, where the Yang-Baxter equation is promoted to a duality between two supersymmetric gauge theories. We study flavored elliptic genus of 2d $\mathcal{N}=(2,2)$ quiver gauge theories, which theories are defined from statistical lattices regarded as quiver diagrams. Our R-matrices are written in terms of theta functions, and simplifies 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.

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Masahito Yamazaki, Wenbin Yan. 2015-04-21. Integrability from 2d N=(2,2) Dualities. https://doi.org/10.1088/1751-8113/48/39/394001

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