Mixed integrable SU(N) vertex model with arbitrary twists

Details Mixed integrable SU(N) vertex model with arbitrary twists Mixed integrable SU(N) vertex model with arbitrary twists

2004-06-12

arxiv.org/abs/nlin/0406021v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

32 pages, latex

Scientific paper

10.1016/j.nuclphysb.2004.10.047

We consider the quantum inverse scattering method for several mixed integrable models based on the rational SU(N) R-matrix with general toroidal boundary conditions. This includes systems whose Hilbert spaces are invariant by the discrete representations of the group SU(2) and the non-compact group SU(1,1) as well as the conjugate representation of the SU(N) symmetry. Introducing certain transformations on the quantum spaces we are able to solve generalizaed impurity problems including those related to singular matrices.

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