On \(\operatorname{osp}(M|2n)\) integrable open spin chains. (English) Zbl 1465.82001
Summary: We consider open spin chains based on \(\operatorname{osp}(M|2n)\) Yangians and solve the reflection equations for some classes of reflection matrices, including the diagonal ones. Having then integrable open spin chains, we write the analytical Bethe Ansatz equations. More details and references can be found in [the first author et al., Nucl. Phys., B 668, No. 3, 469–505 (2003; Zbl 1094.81032); Nucl. Phys., B 687, No. 3, 257–278 (2004; Zbl 1149.82313)].
MSC:
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |
| 82B23 | Exactly solvable models; Bethe ansatz |
References:
| [1] | D. Arnaudon, J. Avan, N. Cramp´e, L. Frappat, and ´E. Ragoucy: J. Math. Phys. 44 (2003) 302; math.QA/0111325. · Zbl 1061.17014 |
| [2] | I.V. Cherednik: Theor. Math. Phys. 61 (1984) 977. · Zbl 0575.22021 |
| [3] | E.K. Sklyanin: J. Phys. A 21 (1988) 2375. · Zbl 0685.58058 |
| [4] | D. Arnaudon, J. Avan, N. Cramp´e, A. Doikou, L. Frappat, and ´E. Ragoucy: Nucl. Phys. B 668 (2003) 469; math.QA/0304150. · Zbl 1094.81032 |
| [5] | D. Arnaudon, J. Avan, N. Cramp´e, A. Doikou, L. Frappat, and ´E. Ragoucy: Nucl. Phys. B 687 (2004) 257; math-ph/0310042. · Zbl 1149.82313 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
