A $\hslash$-deformed Virasoro Algebra as Hidden Symmetry of the Restricted sine-Gordon Model

Abstract

As the Yangian double with center,which is deformed from affine algebra by the additive loop parameter $\hslash$ ,we get the commuting relation and the bosonization of quantum $\hslash$-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 $p^{\prime }=rp=r-1$ and $\hslash =\pi$ actually gives the exact scattering matrix of the Restricted sine-Gordon model.

8 pages

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