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 Author(s):
 Andrew Sommese, Azat M. Gainutdinov, Wenrui Hao, Rafael I. Nepomechie
 Abstract:
We consider the sl(2)qinvariant open spin½ XXZ quantum spin chain of finite length N. For the case that q is a root of unity, we propose a formula for the number of admissible solutions of the Bethe ansatz equations in terms of dimensions of irreducible representations of the TemperleyLieb algebra; and a formula for the degeneracies of the transfer matrix eigenvalues in terms of dimensions of tilting sl(2)qmodules. These formulas include corrections that appear if two or more tilting …

 Author(s):
 Andrew Sommese, Azat M. Gainutdinov, Wenrui Hao, Rafael I. Nepomechie
 Abstract:
We consider the sl(2)qinvariant open spin½ XXZ quantum spin chain of finite length N. For the case that q is a root of unity, we propose a formula for the number of admissible solutions of the Bethe ansatz equations in terms of dimensions of irreducible representations of the TemperleyLieb algebra; and a formula for the degeneracies of the transfer matrix eigenvalues in terms of dimensions of tilting sl(2)qmodules. These formulas include corrections that appear if two or more tilting …