Abstract
We have recently constructed a large class of open quantum spin chains which have quantum-algebra symmetry and which are integrable. We show here that these models can be exactly solved using a generalization of the analytical Bethe Ansatz (BA) method. In particular, we determine in this way the spectrum of the transfer matrices of the Uq[su(2)]-invariant spin chains associated with A1 (1) and A2 (2) in the fundamental representation. The quantum-algebra invariance of these models plays an essential role in obtaining these results. The BA equations for these open chains are "doubled" with respect to the BA equations for the corresponding closed chains.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 597-621 |
| Number of pages | 25 |
| Journal | Nuclear Physics B |
| Volume | 372 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 23 1992 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Analytical Bethe Ansatz for quantum-algebra-invariant spin chains. / Mezincescu, Alexandru; Nepomechie, Rafael.
In: Nuclear Physics B, Vol. 372, No. 3, 23.03.1992, p. 597-621.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Analytical Bethe Ansatz for quantum-algebra-invariant spin chains
AU - Mezincescu, Alexandru
AU - Nepomechie, Rafael
PY - 1992/3/23
Y1 - 1992/3/23
N2 - We have recently constructed a large class of open quantum spin chains which have quantum-algebra symmetry and which are integrable. We show here that these models can be exactly solved using a generalization of the analytical Bethe Ansatz (BA) method. In particular, we determine in this way the spectrum of the transfer matrices of the Uq[su(2)]-invariant spin chains associated with A1 (1) and A2 (2) in the fundamental representation. The quantum-algebra invariance of these models plays an essential role in obtaining these results. The BA equations for these open chains are "doubled" with respect to the BA equations for the corresponding closed chains.
AB - We have recently constructed a large class of open quantum spin chains which have quantum-algebra symmetry and which are integrable. We show here that these models can be exactly solved using a generalization of the analytical Bethe Ansatz (BA) method. In particular, we determine in this way the spectrum of the transfer matrices of the Uq[su(2)]-invariant spin chains associated with A1 (1) and A2 (2) in the fundamental representation. The quantum-algebra invariance of these models plays an essential role in obtaining these results. The BA equations for these open chains are "doubled" with respect to the BA equations for the corresponding closed chains.
UR - http://www.scopus.com/inward/record.url?scp=0011466430&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0011466430&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(92)90367-K
DO - 10.1016/0550-3213(92)90367-K
M3 - Article
AN - SCOPUS:0011466430
VL - 372
SP - 597
EP - 621
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 3
ER -