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Virasoro-type Symmetries in Solvable Models
H. Awata, H. Kubo, S. Odake +1
Virasoro-type symmetries and their roles in solvable models are reviewed. These symmetries are described by the two-parameter Virasoro-type algebra by choosing the para…
Quantum Deformation of the W_N Algebra
H. Awata, H. Kubo, S. Odake +1
We review the W_N algebra and its quantum deformation, based on free field realizations. The (quantum deformed) W_N algebra is defined through the (quantum deformed) Miura transfor…
Vertex Operators of the -Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions
H. Awata, H. Kubo, Y. Morita +2
Primary fields of the -deformed Virasoro algebra are constructed. Commutation relations among the primary fields are studied. Adjoint actions of the deformed Virasoro current on…
Reflection K-Matrices of the 19-Vertex Model and XXZ Spin-1 Chain with General Boundary Terms
Takeo Inami, Satoru Odake, Yao-Zhong Zhang
We derive and classify all solutions of the boundary Yang-Baxter equation (or the reflection equation) for the 19-vertex model associated with . Integrable $XX…