|
Zapiski Nauchnykh Seminarov POMI, 2005, Volume 325, Pages 146–162
(Mi znsl355)
|
|
|
|
This article is cited in 2 scientific papers (total in 3 papers)
Spin chain connected to the quantum superalgebra $\mathrm{sl}_q(1\mid 1)$
P. P. Kulisha, P. D. Ryasichenkob a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Abstract:
We consider an integrable system with $R$-matrix connected to the algebra $\mathrm{sl}_q(1\mid1)$. We construct the Hamiltonian of the system and find its spectrum by means of the algebraic Bethe Ansatz. The symmetry algebra of the chain is written out. The partition function of the model on the lattice with domain wall
boundary conditions is calculated.
Received: 27.06.2005
Citation:
P. P. Kulish, P. D. Ryasichenko, “Spin chain connected to the quantum superalgebra $\mathrm{sl}_q(1\mid 1)$”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XII, Zap. Nauchn. Sem. POMI, 325, POMI, St. Petersburg, 2005, 146–162; J. Math. Sci. (N. Y.), 138:3 (2006), 5711–5721
Linking options:
https://www.mathnet.ru/eng/znsl355 https://www.mathnet.ru/eng/znsl/v325/p146
|
Statistics & downloads: |
Abstract page: | 317 | Full-text PDF : | 87 | References: | 55 |
|