Multiplicity in Supersymmetric Spin Chains

Details Multiplicity in Supersymmetric Spin Chains Multiplicity in Supersymmetric Spin Chains

2007-08-28

arxiv.org/abs/0708.3687v3

Physics

Mathematical Physics

14 pages. v2: Added references and minor corrections; v3: Acknowledgement added

Scientific paper

10.1016/j.nuclphysb.2008.02.007

We discuss a simple procedure for obtaining new integrable spin chains from old by replacing each single state of the original model by some collection of states. This works whenever the Lax matrix of the chain has a certain form. The simplest example is the su(n) XX model. We apply the techniques of the nested algebraic Bethe ansatz to solve such systems, in the bosonic and supersymmetric cases.

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