量子(超)自旋链的Baxter Q算子和算子Backlund流
Baxter's Q-operators and operatorial Backlund flow for quantum (super)-spin chains
摘要:
本文提出了描述非齐次有理gl(K)嵌套过程的运算Bäcklund流的一般形式中的Baxter的TQ关系的运算形式|M)具有扭曲周期边界条件的量子(超)自旋链。明确定义了所有嵌套层次上的Q-算子和T-算子的全集。这些结果是基于作者之一和P.Vieira [V.Kazakov and P. Vieira,JHEP 0810(2008)050 [arXiv:0711.2470]]发现的群特征标及其群余导数关于扭曲矩阵的恒等式的推广。我们的形式主义,基于这个新的“主”身份,允许一个系统的和相当直接的推导整个套嵌套的Bethe anomaly方程的频谱的量子可积自旋链,从R-矩阵。
英文摘要:
We propose the operatorial form of Baxter's TQ-relations in a general form of the operatorial Bäcklund flow describing the nesting process for the inhomogeneous rational gl(K|M) quantum (super)spin chains with twisted periodic boundary conditions. The full set of Q-operators and T-operators on all levels of nesting is explicitly defined. The results are based on a generalization of the identities among the group characters and their group co-derivatives with respect to the twist matrix, found by one of the authors and P.Vieira [V.Kazakov and P.Vieira, JHEP 0810 (2008) 050 [arXiv:0711.2470]]. Our formalism, based on this new "master" identity, allows a systematic and rather straightforward derivation of the whole set of nested Bethe ansatz equations for the spectrum of quantum integrable spin chains, starting from the R-matrix.
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