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/