### Abstract

The author considers solutions of the Yang-Baxter equation such that the logarithmic derivative of the transfer matrix yields a quantum spin Hamiltonian which is isotropic in spin space, i.e. SU(2)-invariant. Four such solutions are known for each value of the spin S. (For S=1/2 they degenerate into the same solution, and for S=1 they only give three different solutions). For S<or=6 he shows that these are the only solutions which are SU(2)-invariant, except for S=3 when there is a fifth solution.

Original language | English (US) |
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Article number | 010 |

Pages (from-to) | 2809-2817 |

Number of pages | 9 |

Journal | Journal of Physics A: General Physics |

Volume | 25 |

Issue number | 10 |

DOIs | |

State | Published - Dec 1 1992 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics