Integrability of the D2n vertex models with open boundary

M. J. Martins; X. W. Guan

doi:10.1016/S0550-3213(00)00259-5

Integrability of the D²_n vertex models with open boundary

M. J. Martins^*, X. W. Guan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

We investigate various aspects of the integrability of the vertex models associated to the D²_n affine Lie algebra with open boundaries. We first study the solutions of the corresponding reflection equation compatible with the minimal symmetry of this system. We find three classes of general solutions, one diagonal solution and two non-diagonal families with a free parameter. Next we perform the Bethe ansatz analysis for some of the associated open D²₂ spin chains and we identify the boundary having quantum group invariance. We also discuss a new D²₂ R-matrix.

Original language	English
Pages (from-to)	721-738
Number of pages	18
Journal	Nuclear Physics B
Volume	583
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(00)00259-5
Publication status	Published - 11 Sept 2000
Externally published	Yes

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title = "Integrability of the D2n vertex models with open boundary",

abstract = "We investigate various aspects of the integrability of the vertex models associated to the D2n affine Lie algebra with open boundaries. We first study the solutions of the corresponding reflection equation compatible with the minimal symmetry of this system. We find three classes of general solutions, one diagonal solution and two non-diagonal families with a free parameter. Next we perform the Bethe ansatz analysis for some of the associated open D22 spin chains and we identify the boundary having quantum group invariance. We also discuss a new D22 R-matrix.",

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AB - We investigate various aspects of the integrability of the vertex models associated to the D2n affine Lie algebra with open boundaries. We first study the solutions of the corresponding reflection equation compatible with the minimal symmetry of this system. We find three classes of general solutions, one diagonal solution and two non-diagonal families with a free parameter. Next we perform the Bethe ansatz analysis for some of the associated open D22 spin chains and we identify the boundary having quantum group invariance. We also discuss a new D22 R-matrix.

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Integrability of the D²_n vertex models with open boundary

Abstract

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