65 citations · 331 across the 53 of their papers we have counts for
7 papers · 2 filters
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…
The nondynamical r-matrix structure for 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 general ) from the classical dynamical twisting,in which the correspo…
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^{…
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…
The algebra A_{\hbar,η}(\hat{g}) and Infinite Hopf family of algebras
Bo-Yu Hou, Liu Zhao, Xiang-Mao Ding
New deformed affine algebras A_{\hbar,η}(\hat{g}) are defined for any simply-laced classical Lie algebra g, which are generalizations of the algebra A_{\hbar,η}(\hat{sl_2}) recentl…
q-affine-Yangian double correspondence and free boson representation of Yangian double with arbitrary level
Bo-Yu Hou, Liu Zhao, Xiang-Mao Ding
We derive a free boson representation of the Yangian double with arbitrary level k using the observation that there is a correspondence between the q-affine algebr…
hbar-(Yangian) Deformation of Miura Map and Virasoro Algebra
Xiang-Mao Ding, Bo-Yu Hoy, Liu Zhao
An hbar-deformed Virasoro Poisson algebra is obtained using the Wakimoto realization of the Sugawara operator for the Yangian double DY_\hbar(sl_2)_c at the critical level c=-2.