论文标题
与D型对称性和二元性相互作用的粒子系统
Interacting particle systems with type D symmetry and duality
论文作者
论文摘要
我们使用$ u_q（so_6）$或$ u_q（so_8）$对称性构建两类不对称交互粒子系统，如果两个粒子具有不同的类别，则最多可占用两个粒子。颗粒表现出漂移，但在一流和二等颗粒之间没有偏好。量子组的对称性导致可逆措施和粒子系统的自偶性。此外，开发了一种新方法来从$ so_ {2n} $的Casimir元素中构建对称交互的粒子系统。
We construct a two-class asymmetric interacting particle system with $U_q(so_6)$ or $U_q(so_8)$ symmetry, in which up to two particles may occupy a site if the two particles have different class. The particles exhibit a drift, but there is no preference given between first-class and second-class particles. The quantum group symmetry leads to reversible measures and a self-duality for the particle system. Additionally, a new method is developed to construct a symmetric interacting particle system from the Casimir element of $so_{2n}$.
