A ℏ-deformed Virasoro Algebra as Hidden Symmetry of the Restricted sine-Gordon Model

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As the Yangian double with center,which is deformed from affine algebra by the additive loop parameter ℏ,we get the commuting relation and the bosonization of quantum ℏ-deformed Virasoro algebra. The corresponding Miura transformation, associated screening operators and the BRST charge have been studied. Moreover, we also constructe the bosonization for type I and type II intertwiner vertex operators. Finally, we show that the commuting relation of these vertex operators in the case of p'=r p=r-1 and ℏ =π actually gives the exact scattering matrix of the Restricted sine-Gordon model.