Fusion and Analytical Bethe Ansatz for the A ( 1 ) N − 1 Open Spin Chain Anastasia
نویسنده
چکیده
We generalise the fusion procedure for the A (1) N−1 open spin chain (N > 2) and we show that the transfer matrix satisfies a crossing property. We use these results to solve the A (1) N−1 open spin chain with Uq (SU(N )) symmetry by means of the analytical Bethe ansatz method. Our results coincide with the known ones obtained via the nested Bethe ansatz.
منابع مشابه
quantum-algebra-invariant open spin chains
We determine the eigenvalues of the transfer matrices for integrable open quantum spin chains which are associated with the affine Lie algebras A (2) 2n−1, B (1) n ,C (1) n , D (1) n , and which have the quantum-algebra invariance Uq(Cn), Uq(Bn), Uq(Cn), Uq(Dn), respectively. Physics Department, Bonn University, Nussallee 12, D-53115 Bonn, Germany Permanent address: Physics Department, Universi...
متن کاملAnalytical Bethe ansatz for the open AdS/CFT SU (1|1) spin chain
We prove an inversion identity for the open AdS/CFT SU(1|1) quantum spin chain which is exact for finite size. We use this identity, together with an analytic ansatz, to determine the eigenvalues of the transfer matrix and the corresponding Bethe ansatz equations. We also solve the closed chain by algebraic Bethe ansatz. 1 Physics Department, P.O. Box 248046, University of Miami, Coral Gables, ...
متن کاملQuantum spin chain with “soliton non-preserving” boundary conditions
We consider the case of an integrable quantum spin chain with “soliton non-preserving” boundary conditions. This is the first time that such boundary conditions have been considered in the spin chain framework. We construct the transfer matrix of the model, we study its symmetry and we find explicit expressions for its eigenvalues. Moreover, we derive a new set of Bethe ansatz equations by mean...
متن کاملBoundary S Matrix for the XXZ Chain
We compute by means of the Bethe Ansatz the boundary S matrix for the open anisotropic spin-12 chain with diagonal boundary magnetic fields in the noncritical regime (∆ > 1). Our result, which is formulated in terms of q-gamma functions, agrees with the vertex-operator result of Jimbo et al.
متن کامل“New” boundary conditions in integrable lattice models
We consider the case of an integrable quantum spin chain with “soliton non-preserving” boundary conditions. This is the first time that such boundary conditions have been considered in the spin chain framework. We construct the transfer matrix of the model, we study its symmetry and we find explicit expressions for its eigenvalues. Moreover, we derive a new set of Bethe ansatz equations by mean...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000