Spectral equivalences and symmetry breaking in integrable SU_q(N) spin chains with boundaries

Details Spectral equivalences and symmetry breaking in integrable SU_q(N) spin chains with boundaries Spectral equivalences and symmetry breaking in integrable SU_q(N) spin chains with boundaries

2005-07-21

arxiv.org/abs/hep-th/0507209v1

J.Stat.Mech.0509:P09009,2005

Physics

High Energy Physics

High Energy Physics - Theory

34 pages

Scientific paper

10.1088/1742-5468/2005/09/P09009

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.

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