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12 papers · 1 filter
A one-dimensional many-body integrable model from Belavin model with open boundary conditions
Heng Fan, Bo-Yu Hou, Guang-Liang Li +2
We use factorized operator to construct an integrable model with open boundary conditions. By taking trigonometic limit() and scaling limit(), we…
Bethe ansatz for the one-dimensional small-polaron model with open boundary conditions
Heng Fan, Xi-Wen Guan
The one-dimensional small-polaron model with open boundary conditions is considered in the framework of the quantum inverse scattering method. The spin model which is equivalent to…
The nondynamical r-matrix structure of the elliptic Calogero-Moser model
Bo-yu Hou, Wen-li Yang
In this paper, we construct a new Lax operator for the elliptic Calogero-Moser model with N=2. The nondynamical r-matrix structure of this Lax operator is also studied . The relati…
Dynamically twisted algebra as current algebra generalizing screening currents of q-deformed Virasoro algebra
B. Y. Hou, W. L. Yang
In this paper, we propose an elliptic algebra which is based on the relations , where and are the dynamical R-maxtrices of $A^{…
Free boson representation of DY_{\hbar}(gl_N)_k
X. M. Ding, B. Y. Hou, B. Yuan Hou +1
We construct a realization of the Yangian double DY_\hbar(gl_N) and DY_\hbar(sl_N) of an arbitrary level k in terms of free boson fields with a continuous parameter. In the \hbar \…
Note on the Algebra of Screening Currents for the Quantum Deformed W-Algebra
Liu Zhao, Bo-Yu Hou
With slight modifications in the zero modes contributions, the positive and negative screening currents for the quantum deformed W-algebra W_{q,p}(g) can be put together to form a…