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On the \(\mathcal{{U}}_{q}[osp(1|2)]\) Temperley–Lieb Model

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Abstract

This work concerns the boundary integrability of the \(\mathcal{{U}}_{q}[osp(1|2)]\) Temperley–Lieb model. We constructed the solutions of the graded reflection equations in order to determine the boundary terms of the correspondig spin-1 Hamiltonian. We obtain the eigenvalue expressions as well as its associated Bethe ansatz equations by means of the coordinate Bethe ansatz. These equations provide the complete description of the spectrum of the model with diagonal integrable boundaries.

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Acknowledgements

We would like to thank R.A. Pimenta for discussions. This work was supported in part by Brazilian Research Council (CNPq), Grant #310625/2013-0 and FAPESP, Grants #2011/18729-1 and #2016/50023-5.

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  1. Departamento de Física, Universidade Federal de São Carlos, Caixa Postal 676, São Carlos, CEP 13569-905, Brazil

    A. Lima-Santos

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Lima-Santos, A. On the \(\mathcal{{U}}_{q}[osp(1|2)]\) Temperley–Lieb Model. J Stat Phys 165, 953–969 (2016). https://doi.org/10.1007/s10955-016-1648-z

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  • DOI: https://doi.org/10.1007/s10955-016-1648-z

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