Spectral equivalences and symmetry breaking in integrable SU_q(N) spin chains with boundaries
Nichols, A.
arXiv, 0507209 / Harvested from arXiv
We consider the SU_q (N) invariant spin chain with diagonal and non-diagonal integrable boundary terms. The algebraic study of spin chains with different types of boundary terms is used to motivate a set of spectral equivalences between integrable chains with purely diagonal boundary terms and ones with an arbitrary non-diagonal term at one end. For each choice of diagonal boundary terms there is an isospectral one-boundary problem and vice-versa. The quantum group SU_q (N) symmetry is broken by the presence of a non-diagonal boundary term however one can use the spectral equivalence with the diagonal chain to easily understand the residual symmetries of the system.
Publié le : 2005-07-21
Classification:  High Energy Physics - Theory,  Condensed Matter - Statistical Mechanics,  Mathematical Physics
@article{0507209,
     author = {Nichols, A.},
     title = {Spectral equivalences and symmetry breaking in integrable SU\_q(N) spin
  chains with boundaries},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507209}
}
Nichols, A. Spectral equivalences and symmetry breaking in integrable SU_q(N) spin
  chains with boundaries. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507209/