Semantic Scholar Open Access 2006 1 sitasi

On the Degenerate Multiplicity of the sl_2 Loop Algebra for the 6V Transfer Matrix at Roots of Unity

T. Deguchi

Lihat Sumber DOI

Abstrak

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 2N 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 regular Bethe ansatz eigenvector in the sectors is a highest weight vector and derive the highest weight ¯ d ± , which leads to evaluation parameters aj. If the evaluation parameters are distinct, we obtain the dimensions of the highest weight representation generated by the regular Bethe state.

Topik & Kata Kunci

Physics Mathematics

Penulis (1)

T. Deguchi

Format Sitasi

APA MLA BibTeX

Deguchi, T. (2006). On the Degenerate Multiplicity of the sl_2 Loop Algebra for the 6V Transfer Matrix at Roots of Unity. https://doi.org/10.3842/SIGMA.2006.021

Akses Cepat

Lihat di Sumber doi.org/10.3842/SIGMA.2006.021

Informasi Jurnal

Tahun Terbit: 2006
Bahasa: en
Total Sitasi: 1×
Sumber Database: Semantic Scholar
DOI: 10.3842/SIGMA.2006.021
Akses: Open Access ✓