Magic in the spectra of the \(XXZ\) quantum chain with boundaries at \(\Delta =0\) and \(\Delta = - 1/2\)
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Publication:876264
DOI10.1016/J.NUCLPHYSB.2005.09.005zbMATH Open1138.82316arXivhep-th/0505062OpenAlexW1494873046MaRDI QIDQ876264
Author name not available (Why is that?)
Publication date: 16 April 2007
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/hep-th/0505062
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