On the Degenerate Multiplicity of the sl2 Loop Algebra for the 6V Transfer Matrix at Roots of Unity

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On the Degenerate Multiplicity of the sl2 Loop Algebra for the 6V Transfer Matrix at Roots of Unity

We review the main result of cond-mat/0503564. The Hamiltonian of the XXZ spin chain and the transfer matrix of the six-vertex model has the sl2 loop algebra symmetry if the q parameter is given by a root of unity, q 0 = 1, for an integer N . We discuss the dimensions of the degenerate eigenspace generated by a regular Bethe state in some sectors, rigorously as follows: We show that every regul...

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ژورنال

عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications

سال: 2006

ISSN: 1815-0659

DOI: 10.3842/sigma.2006.021