论文标题
自由用冰，杨巴克斯特方程和绞线关系
Free-fermionic ice, the Yang-Baxter equation and skein relations
论文作者
论文摘要
在他著名的ASM纸中，库尔伯格使用绞线关系提供了代数证明杨巴克斯特方程式，其中玻尔兹曼的权重满足了无场状况。在本文中，我们使用Kuperberg的技术来证明一些Yang-baxter方程，其中玻尔兹曼的权重满足了自由气概的条件。特别是，我们使用绞线关系来证明伽马冰冰的杨 - 巴克斯特方程，这是Brubaker，Bump和Friedberg引入的自由鲜花感的六个vertex模型。
In his famous ASM paper, Kuperberg uses a skein relation to give an algebraic proof of a Yang-Baxter equation where the Boltzmann weights satisfy the field-free condition. In this paper, we use Kuperberg's techniques to give proofs of a few Yang-Baxter equations where the Boltzmann weights satisfy the free-fermionic condition. In particular, we use skein relations to prove the Yang-Baxter equation for Gamma-Gamma ice which is a free-fermionic six-vertex model introduced by Brubaker, Bump and Friedberg.
