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New D_{n+1}^(2) K-matrices with quantum group symmetry (1805.10144v2)
Published 24 May 2018 in hep-th, cond-mat.stat-mech, math-ph, math.MP, and math.QA
Abstract: We find new families of solutions of the $D_{n+1}{(2)}$ 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 $D_{n+1}{(2)}$ Dynkin diagram, namely, $U_{q}(B_{n-p}) \otimes U_{q}(B_{p})$, where $p=0, \ldots, n$. These transfer matrices also have a $p \leftrightarrow n-p$ duality symmetry. These symmetries help to account for the degeneracies in the spectrum of the transfer matrix.