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arXiv · 1910.09780

New irreducible non-weight Virasoro modules from tensor products

Haibo Chen·Jianzhi Han·Yanyong Hong·Yucai Su
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Abstract

In this paper, we present a class of non-weight Virasoro modules $\mathcal{M}\big(V,\Omega(\lambda_0,\alpha_0)\big)\otimes\bigotimes_{i=1}^m\Omega(\lambda_i,\alpha_i)$ where $\Omega(\lambda_i,\alpha_i)$ and $\mathcal{M}\big(V,\Omega(\lambda_0,\alpha_0)\big)$ are irreducible Virasoro modules defined in \cite{LZ2} and \cite{LZ} respectively. The necessary and sufficient conditions for $\mathcal{M}\big(V,\Omega(\lambda_0,\alpha_0)\big)\otimes\bigotimes_{i=1}^m\Omega(\lambda_i,\alpha_i)$ to be irreducible are obtained. Then we determine the necessary and sufficient conditions for two such irreducible Virasoro modules to be isomorphic. At last, we show that the irreducible modules in this class are new.

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BibTeXRIS

Haibo Chen, Jianzhi Han, Yanyong Hong, Yucai Su. 2019-10-22. New irreducible non-weight Virasoro modules from tensor products. https://arxiv.org/abs/1910.09780

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