论文标题
伯特国家计数和维滕指数
Bethe-State Counting and the Witten Index
论文作者
论文摘要
我们使用2D超对称仪表理论的WITTEN指数来计算量子整合模型的伯特量子状态。对于可通过嵌套的伯特·安萨兹(Bethe Ansatz)求解的多组分模型,结果是一个新的限制占用问题。对于SU(3)自旋链和T-J模型,我们提出了在扭曲参数空间中奇异基因座的解决方案的公式。
We count the Bethe states of quantum integrable models with twisted boundary conditions using the Witten index of 2d supersymmetric gauge theories. For multi-component models solvable by the nested Bethe ansatz, the result is a novel restricted occupancy problem. For the SU(3) spin chain and the t-J model, we propose formulae for the solution count on singular loci in the space of twist parameters.