Symmetries of spin systems and Birman–Wenzl–Murakami algebra
We consider integrable open spin chains related to the quantum affine algebras U q ( o ( 3 ) ˆ ) and U q ( A 2 ( 2 ) ) . We discuss the symmetry algebras of these chains with the local C 3 space related to the Birman–Wenzl–Murakami algebra. The symmetry algebra and the Birman–Wenzl–Murakami algebra...
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| Veröffentlicht in: | Journal of mathematical physics 2010-04, Vol.51 (4), p.043516-043516-15 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We consider integrable open spin chains related to the quantum affine algebras
U
q
(
o
(
3
)
ˆ
)
and
U
q
(
A
2
(
2
)
)
. We discuss the symmetry algebras of these chains with the local
C
3
space related to the Birman–Wenzl–Murakami algebra. The symmetry algebra and the Birman–Wenzl–Murakami algebra centralize each other in the representation space
H
=
⊗
1
N
C
3
of the system, and this determines the structure of the spin system spectra. Consequently, the corresponding multiplet structure of the energy spectra is obtained. |
|---|---|
| ISSN: | 0022-2488 1089-7658 |
| DOI: | 10.1063/1.3366259 |