Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-06
Nucl.Phys.B729:387-418,2005
Physics
High Energy Physics
High Energy Physics - Theory
29 pages
Scientific paper
10.1016/j.nuclphysb.2005.09.005
We show that from the spectra of the U_q (sl(2)) symmetric XXZ spin-1/2 finite quantum chain at Delta=-1/2 (q=e^{pi i/3}) one can obtain the spectra of certain XXZ quantum chains with diagonal and non-diagonal boundary conditions. Similar observations are made for Delta=0 (q=e^{pi i/2}). In the finite-size scaling limit the relations among the various spectra are the result of identities satisfied by known character functions. For the finite chains the origin of the remarkable spectral identities can be found in the representation theory of one and two boundaries Temperley-Lieb algebras at exceptional points. Inspired by these observations we have discovered other spectral identities between chains with different boundary conditions.
de Gier Jan
Nichols Alexander
Pyatov Pavel
Rittenberg Vladimir
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