Abstract
We propose new families of solutions of the D2 n+1 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 D2 n+1 Dynkin diagram, namely, Uq(Bn-p) O× Uq(Bp), where p = 0,⋯, n. These transfer matrices also have a p ↔ n - p duality symmetry. These symmetries help to account for the degeneracies in the spectrum of the transfer matrix.
| Original language | English (US) |
|---|---|
| Article number | 39LT02 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 51 |
| Issue number | 39 |
| DOIs | |
| State | Published - Aug 30 2018 |
Keywords
- boundary Yang-Baxter equation
- integrable quantum spin chains
- quantum group
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)
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Nepomechie, R. I., & Pimenta, R. A. (2018). New D2 n+1 K-matrices with quantum group symmetry. Journal of Physics A: Mathematical and Theoretical, 51(39), [39LT02]. https://doi.org/10.1088/1751-8121/aad957