19 citations · 26 across the 3 of their papers we have counts for
5 papers
Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices
P. P. Kulish, N. Manojlovic, Z. Nagy
A reducible representation of the Temperley-Lieb algebra is constructed on the tensor product of n-dimensional spaces. One obtains as a centraliser of this action a quantum algebra…
Algebraic Bethe ansatz for the elliptic quantum group
Nenad Manojlovic, Zoltan Nagy
We implement the Bethe anstaz method for the elliptic quantum group . The Bethe creation operators are constructed as polynomials of the Lax matrix elements exp…
Creation operators and algebraic Bethe ansatz for the elliptic quantum group
Nenad Manojlovic, Zoltan Nagy
We define the elliptic quantum group and the transfer matrix corresponding to its simplest highest weight representation. We use Bethe anstaz method to construct th…
sl_2 Gaudin model with Jordanian twist
N. Cirilo-Antonio, N. Manojlovic
sl_2 Gaudin model with Jordanian twist is studied. This system can be obtained as the semiclassical limit of the XXX spin chain deformed by the Jordanian twist. The appropriate cre…
Bethe vectors of the osp(1|2) Gaudin model
P. P. Kulish, N. Manojlovic
The eigenvectors of the osp(1|2) invariant Gaudin hamiltonians are found using explicitly constructed creation operators. Commutation relations between the creation operators and t…