在一个环上重新审视Y=0开自旋链
Revisiting the Y=0 open spin chain at one loop
摘要:
2005年,贝伦斯坦和巴斯克斯确定了一个开自旋链哈密顿量,描述了与Y=0极大巨引力子相连的开弦对应的类行列式算符的单圈反常维数。我们构造了包含这个哈密顿量的转移矩阵(守恒量的生成泛函),从而直接证明了它的可积性。我们发现这个传输矩阵和相应的贝特方程,我们提出的全回路贝特方程的特征值进行比较。我们注意到Bethe的解有一定的“规范”自由度,并且不是完全唯一的。
英文摘要:
In 2005, Berenstein and Vazquez determined an open spin chain Hamiltonian describing the one-loop anomalous dimensions of determinant-like operators corresponding to open strings attached to Y=0 maximal giant gravitons. We construct the transfer matrix (generating functional of conserved quantities) containing this Hamiltonian, thereby directly proving its integrability. We find the eigenvalues of this transfer matrix and the corresponding Bethe equations, which we compare with proposed all-loop Bethe equations. We note that the Bethe ansatz solution has a certain "gauge" freedom, and is not completely unique.
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