The work is devoted to a probably new connection between deformed Virasoro algebra and quantum affine algebra \(\mathfrak {sl}_2\). We give an explicit realization of Virasoro current via the vertex operators of the level 1 integrable representations of quantum affine algebra \(\mathfrak {sl}_2\). The same is done for a twisted version of deformed Virasoro algebra.

中文翻译：

---

通过$$ U_q（\ widehat {\ mathfrak {sl}} _ 2）$$ U q（sl ^ 2）的顶点算子的扭曲和非扭曲变形的Virasoro代数

这项工作致力于变形的Virasoro代数和量子仿射代数\（\ mathfrak {sl} _2 \）之间的可能是新的联系。我们通过量子仿射代数\（\ mathfrak {sl} _2 \）的1级可积表示的顶点算子给出Virasoro电流的显式实现。对于变形的Virasoro代数的扭曲形式也可以执行相同的操作。