Non-Abelian symmetries of the half-infinite XXZ spin chain

Abstract : The non-Abelian symmetries of the half-infinite XXZ spin chain for all possible types of integrable boundary conditions are classified. For each type of boundary conditions, an analog of the Drinfeld-Jimbo presentation is given for the corresponding symmetry algebra. In particular, two new algebras arise that are, respectively, generated by the symmetry operators of the model with triangular and special $U_q(gl_2)-$invariant integrable boundary conditions.
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Contributor : Pascal Baseilhac <>
Submitted on : Thursday, November 17, 2016 - 3:45:51 PM
Last modification on : Monday, February 10, 2020 - 6:13:40 PM
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  • HAL Id : hal-01398682, version 1
  • ARXIV : 1611.05390

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Pascal Baseilhac, Samuel Belliard. Non-Abelian symmetries of the half-infinite XXZ spin chain. 2016. ⟨hal-01398682⟩

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