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Vertex Operators of the $q$-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions

H. Awata·H. Kubo·Y. Morita·S. Odake·J. Shiraishi
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Abstract

Primary fields of the $q$-deformed Virasoro algebra are constructed. Commutation relations among the primary fields are studied. Adjoint actions of the deformed Virasoro current on the primary fields are represented by the shift operator $Θ_ξ f(x)=f(ξx)$. Four point functions of the primary fields enjoy the connection formula associated with the Boltzmann weights of the fusion Andrews-Baxter-Forrester model.

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H. Awata, H. Kubo, Y. Morita, S. Odake, J. Shiraishi. 1996-04-30. Vertex Operators of the $q$-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions. https://arxiv.org/abs/q-alg/9604023

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