v 2 4 S ep 1 99 9 Gaudin Hypothesis for the XY Z Spin Chain

ar X iv : c on d - m at / 9 90 83 26 v 1 2 4 A ug 1 99 9 Gaudin Hypothesis for the XY Z Spin Chain

The XY Z spin chain is considered in the framework of the generalized algebraic Bethe ansatz developed by Takhtajan and Faddeev. The sum of norms of the Bethe vectors is computed and expressed in the form of a Jacobian. This result corresponds to the Gaudin hypothesis for the XY Z spin chain.

ar X iv : c on d - m at / 9 90 83 26 v 3 2 N ov 1 99 9 Gaudin Hypothesis for the XY Z Spin Chain

The XY Z spin chain is considered in the framework of the generalized algebraic Bethe ansatz developed by Takhtajan and Faddeev. The sum of norms of the Bethe vectors is computed and expressed in the form of a Jacobian. This result corresponds to the Gaudin hypothesis for the XY Z spin chain.

ar X iv : h ep - t h / 96 04 07 8 v 1 1 5 A pr 1 99 6 ITEP

We discuss the construction of the spectral curve and the action integrals for the " elliptic " XY Z spin chain of the length Nc. Our analysis can reflect the integrable structure behind the " elliptic " N = 2 supersymmetric QCD with N f = 2Nc .

ar X iv : c on d - m at / 9 60 31 90 v 1 2 9 M ar 1 99 6 The Four - Dimensional XY Spin Glass

ar X iv : h ep - t h / 98 09 02 8 v 1 4 S ep 1 99 8 The continuum limit of the integrable open XYZ spin - 1 / 2 chain

We show that the continuum limit of the integrable XYZ spin-1/2 chain on a half-line gives rise to the boundary sine-Gordon theory using the perturbation method. PACS numbers: 05.50.+q, 11.10.Kk, 75.10.Jm