High Energy Physics - Theory
[Submitted on 24 May 2018 (v1), last revised 31 Aug 2018 (this version, v2)]
Title:New D_{n+1}^(2) K-matrices with quantum group symmetry
View PDFAbstract: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.
Submission history
From: Rodrigo Pimenta [view email][v1] Thu, 24 May 2018 14:28:36 UTC (12 KB)
[v2] Fri, 31 Aug 2018 13:08:54 UTC (12 KB)
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