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arXiv · hep-th/9612235

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

Bo-yu Hou·Wen-li Yang
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Abstract

As the Yangian double with center,which is deformed from affine algebra by the additive loop parameter $\hbar$ ,we get the commuting relation and the bosonization of quantum $\hbar$-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 $\hbar =π$ actually gives the exact scattering matrix of the Restricted sine-Gordon model.

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Bo-yu Hou, Wen-li Yang. 1997-01-21. A $\hbar$-deformed Virasoro Algebra as Hidden Symmetry of the Restricted sine-Gordon Model. https://arxiv.org/abs/hep-th/9612235

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