Nested Bethe ansatz for ”all” closed spin chains
نویسنده
چکیده
We present in an unified and detailed way the Nested Bethe Ansatz for closed spin chains based on Y(gl(n)), Y(gl(m|n)), Ûq(gl(n)) or Ûq(gl(m|n)) (super)algebras, with arbitrary representations (i.e. ‘spins’) on each site of the chain. The construction extends and unifies the results already obtained for spin chains based on Y(gl(n)) or Ûq(gl(n)) and for some particular super-spin chains. We give the Bethe equations and the form of the Bethe vectors. MSC: 81R50, 17B37 — PACS: 02.20.Uw, 03.65.Fd, 75.10.Pq LAPTH-1245/08 arXiv:0804.2822 [math-ph] April 2008 [email protected] [email protected] UMR 5108 du CNRS, associée à l’Université de Savoie.
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تاریخ انتشار 2008