### Abstract

Original language | English |
---|---|

Pages (from-to) | 695-713 |

Number of pages | 19 |

Journal | Communications in Mathematical Physics |

Volume | 324 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2013 |

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### Cite this

*Communications in Mathematical Physics*,

*324*(3), 695-713. https://doi.org/10.1007/s00220-013-1808-9

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*Communications in Mathematical Physics*, vol. 324, no. 3, pp. 695-713. https://doi.org/10.1007/s00220-013-1808-9

**Tetrahedron Equation and Quantum R Matrices for Spin Representations of B(1) nD(1) n and D(2) n+1.** / Kuniba, Atsuo; Sergeev, Sergey.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Tetrahedron Equation and Quantum R Matrices for Spin Representations of B(1) nD(1) n and D(2) n+1

AU - Kuniba, Atsuo

AU - Sergeev, Sergey

PY - 2013

Y1 - 2013

N2 - It is known that a solution of the tetrahedron equation generates infinitely many solutions of the Yang-Baxter equation via suitable reductions. In this paper this scheme is applied to an oscillator solution of the tetrahedron equation involving bosons and fermions by using special 3d boundary conditions. The resulting solutions of the Yang-Baxter equation are identified with the quantum R matrices for the spin representations of B(1)nBn(1), D(1)nDn(1) and D(2)n+1Dn+1(2).

AB - It is known that a solution of the tetrahedron equation generates infinitely many solutions of the Yang-Baxter equation via suitable reductions. In this paper this scheme is applied to an oscillator solution of the tetrahedron equation involving bosons and fermions by using special 3d boundary conditions. The resulting solutions of the Yang-Baxter equation are identified with the quantum R matrices for the spin representations of B(1)nBn(1), D(1)nDn(1) and D(2)n+1Dn+1(2).

KW - (blank)

U2 - 10.1007/s00220-013-1808-9

DO - 10.1007/s00220-013-1808-9

M3 - Article

VL - 324

SP - 695

EP - 713

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -