标题： 杨正则代数在共形场论中的对称性 显示英文标题

标题： Yangian Symmetry in Conformal Field Theory

摘要： 我们证明，$SU(N)$层级-1 Wess-Zumino-Witten 共形场论为 Yangian$Y(sl_N)$提供了自然实现，对于$N\geq 3$。 我们还构造了一个哈密顿量$H_2$，它与 Yangian 生成元对易，并研究了其谱。 我们的结果，推广了 Haldane 等人的工作\cite{hhtbp}，提供了$SU(N)$Haldane-Shastry 自旋链与$1/r^2$交换的代数结构的场论扩展。 显示英文摘要

摘要： We show that the $SU(N)$, level-1 Wess-Zumino-Witten conformal field theory provides a natural realization of the Yangian $Y(sl_N)$ for $N\geq 3$. We also construct a hamiltonian $H_2$ which commutes with the Yangian generators and study its spectrum. Our results, which generalize work by Haldane et al.\ \cite{hhtbp}, provide the field theory extension of the algebraic structure of the $SU(N)$ Haldane-Shastry spin chains with $1/r^2$ exchange.