New D_{n+1}^{(2)} K-matrices with quantum group symmetry
Abstract
We propose new families of solutions of the boundary Yang-Baxter equation. The open spin-chain transfer matrices constructed with these K-matrices have quantum group symmetry corresponding to removing one node from the Dynkin diagram, namely, , where . These transfer matrices also have a duality symmetry. These symmetries help to account for the degeneracies in the spectrum of the transfer matrix.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- September 2018
- DOI:
- 10.1088/1751-8121/aad957
- arXiv:
- arXiv:1805.10144
- Bibcode:
- 2018JPhA...51MLT02N
- Keywords:
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- High Energy Physics - Theory;
- Condensed Matter - Statistical Mechanics;
- Mathematical Physics;
- Mathematics - Quantum Algebra
- E-Print:
- 15 pages