Integrability As Duality: The Gauge/YBE Correspondence

Masahito Yamazaki

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arXiv · 1808.04374

Integrability As Duality: The Gauge/YBE Correspondence

Masahito Yamazaki

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Abstract

The Gauge/YBE correspondence states a surprising connection between solutions to the Yang-Baxter equation with spectral parameters and partition functions of supersymmetric quiver gauge theories. This correspondence has lead to systematic discoveries of new integrable models based on quantum-field-theory methods. We provide pedagogical introduction to the subject and summarizes many recent developments. This is a write-up of the lecture at the String-Math 2018 conference.

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hep-th cond-mat.stat-mech math-ph math.MP nlin.SI

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Masahito Yamazaki. 2018-08-13. Integrability As Duality: The Gauge/YBE Correspondence. https://arxiv.org/abs/1808.04374

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