Title: New Integrable Deformations of Higher Spin Heisenberg-Ising Chains Show Chinese title

Title: 新的高自旋海森堡-伊辛链可积形变

Abstract: We show that the anisotropic Heisenberg-Ising chains with higher spin allow, for special values of the anisotropy, integrable deformations intimately related to the theory of quantum groups at roots of unity. For the spin one case we construct and study the symmetries of the hamiltonian which depends on a spectral variable belonging to an elliptic curve. One of the points of this curve yields the Fateev-Zamolodchikov hamiltonian of spin one and anisotropy $\Delta = \frac{ q^2 + q^{-2}}{2} $ with $q$ a cubic root of unity. In some other special points the spin degrees of freedom as well as the hamiltonian splits into pieces governed by a larger symmetry. Show Chinese abstract

Abstract: 我们证明，具有高自旋的各向异性海森堡-伊辛链在各向异性参数取某些特殊值时，允许与量子群在单位根处理论密切相关的可积形变。 对于自旋为一的情况，我们构造并研究了依赖于椭圆曲线上的谱变量的哈密顿量的对称性。 该曲线的一个点对应于 Fateev-Zamolodchikov 的自旋一且各向异性参数为 $\Delta = \frac{ q^2 + q^{-2}}{2} $ 的哈密顿量，其中 $q$ 是三重单位根。 在一些其它特殊点上，自旋自由度以及哈密顿量会分解为由更大对称性支配的部分。