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arXiv · 2003.12472

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

Mikhail Bershtein·Roman Gonin
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Abstract

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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BibTeXRIS

Mikhail Bershtein, Roman Gonin. 2020-03-27. Twisted and Non-Twisted Deformed Virasoro Algebra via Vertex Operators of $U_q(\widehat{\mathfrak{sl}}_2)$. https://doi.org/10.1007/s11005-021-01362-9

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