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

Mikhail Bershtein, Roman Gonin

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…