论文标题

通过$ u_q(\ wideHat {\ mathfrak {\ mathfrak {sl}} _ 2)$ u_q(\ widehat {\ sl}} _ 2)$ u_q的扭曲和非扭曲变形的Virasoro代数

Twisted and Non-Twisted Deformed Virasoro Algebra via Vertex Operators of $U_q(\widehat{\mathfrak{sl}}_2)$

论文作者

Bershtein, Mikhail, Gonin, Roman

论文摘要

这项工作致力于变形的Virasoro代数与Quantum $ \ wideHat {\ Mathfrak {sl}} _ 2 $之间的新连接。我们通过$ \ wideHat {\ mathfrak {sl}} _ 2 $的1级集成表示的顶点运算符对Virasoro电流进行明确实现。对于变形的Virasoro代数的扭曲版本也是如此。

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

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