Gauge Theory and Integrability, II
Gauge Theory and Integrability, II
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DOI：
10.4310/iccm.2018.v6.n1.a7
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发表时间：
2017-09
期刊：
影响因子：
--
通讯作者：
K. Costello;E. Witten;M. Yamazaki
中科院分区：
文献类型：
--
作者：
K. Costello;E. Witten;M. Yamazaki
从一个四维规范理论的方法，合理的，椭圆形的，三角形的杨巴克斯特方程的解决方案，我们确定相应的量子群变形的所有订单在$\hbar$通过推导他们的RTT介绍。我们给出的论点是一个混合的熟悉的推理，是更透明的四维规范理论的观点。这些论证最直接地适用于$\mathfrak{gl}_N$，并且可以通过考虑某些表示的自对偶性、威尔逊算子的框架异常以及几个威尔逊算子可以结束的量子顶点的存在性，扩展到除了$\mathfrak{e}_8$之外的所有单李代数。
Starting with a four-dimensional gauge theory approach to rational, elliptic, and trigonometric solutions of the Yang-Baxter equation, we determine the corresponding quantum group deformations to all orders in $\hbar$ by deducing their RTT presentations. The arguments we give are a mix of familiar ones with reasoning that is more transparent from the four-dimensional gauge theory point of view. The arguments apply most directly for $\mathfrak{gl}_N$ and can be extended to all simple Lie algebras other than $\mathfrak{e}_8$ by taking into account the self-duality of some representations, the framing anomaly for Wilson operators, and the existence of quantum vertices at which several Wilson operators can end.