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High Energy Physics - Theory

arXiv:1808.04374 (hep-th)
[Submitted on 13 Aug 2018 (v1), last revised 30 Mar 2020 (this version, v2)]

Title:Integrability As Duality: The Gauge/YBE Correspondence

Authors: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.
Comments: 37 pages, 18 figures, review article; v2: version to appear in Phys. Rept
Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)
Report number: IPMU-18-0134
Cite as: arXiv:1808.04374 [hep-th]
  (or arXiv:1808.04374v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1808.04374

Submission history

From: Masahito Yamazaki [view email]
[v1] Mon, 13 Aug 2018 18:00:01 UTC (4,055 KB)
[v2] Mon, 30 Mar 2020 07:05:25 UTC (4,536 KB)
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