TY - JOUR
T1 - New D2 n+1 K-matrices with quantum group symmetry
AU - Nepomechie, Rafael I.
AU - Pimenta, Rodrigo A.
N1 - Funding Information:
We thank A Lima-Santos and A Retore for discussions. This work was supported by the São Paulo Research Foundation (FAPESP) and the University of Miami under the SPRINT grant #2016/50023-5. Additional support was provided by a Cooper fellowship (RN) and by FAPESP/CAPES grant # 2017/02987-8 (RP). RN thanks IFSC-USP and P Pearce for warm hospitality.
Publisher Copyright:
© 2018 IOP Publishing Ltd.
PY - 2018/8/30
Y1 - 2018/8/30
N2 - 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.
AB - 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.
KW - boundary Yang-Baxter equation
KW - integrable quantum spin chains
KW - quantum group
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U2 - 10.1088/1751-8121/aad957
DO - 10.1088/1751-8121/aad957
M3 - Article
AN - SCOPUS:85053252734
VL - 51
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 39
M1 - 39LT02
ER -