### Abstract

Simple periodic 3D → 2D compactification of the tetrahedron equations gives the Yang–Baxter equations for various evaluation representations of \mathscr{U}_q(\widehat{sl}_n) . In this paper we construct an example of fixed non-periodic 3D boundary conditions producing a set of Yang–Baxter equations for \mathscr{U}_q\big(D_n^{(1)}\big) . These boundary conditions resemble a fusion in the hidden direction

Original language | English |
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Pages (from-to) | 1-4 |

Number of pages | 4 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 42 |

Issue number | 8 |

DOIs | |

Publication status | Published - 27 Jan 2009 |