论文标题

超对准双重性的可集成性:简短的评论

Integrability from supersymmetric duality: a short review

论文作者

Gahramanov, Ilmar

论文摘要

统计力学的一体模型在现代数学物理学中起着重要的作用,尤其是在保形场理论,结理论,组合理论,组合学,拓扑等方面。在此简要综述中,我们讨论了一种使用受到Supersymmpertrictric Gauge理论启发的启发的方法,该方法构建了可集成的晶格旋转模型,称为Supersymmempricric Gayuge Thementation,称为Geaguge/YBE对应关系。在对该主题进行了简要介绍之后,我们回顾了一些对应关系的最新示例以及特殊功能和对称性的作用。最后,我们讨论研究的未来方向。

Integrable models of statistical mechanics play a prominent role in modern mathematical physics, especially in conformal field theory, knot theory, combinatorics, topology, etc. In this brief review, we discuss a program of constructing integrable lattice spin models with the nearest neighbor interaction using methods inspired by the supersymmetric gauge theory computations, called gauge/YBE correspondence. After a brief introduction to the topic, we review some recent examples of this correspondence and the role of special functions and symmetries. Finally, we discuss future directions of research.

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