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arXiv · 0711.4624

W-algebra W(2,2) and the vertex operator algebra L(1/2,0)\otimes L(1/2,0)

W. Zhang·C. Dong
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Abstract

In this paper the W-algebra W(2,2) and its representation theory are studied. It is proved that a simple vertex operator algebra generated by two weight 2 vectors is either a vertex operator algebra associated to a highest irreducible W(2,2)-module or a tensor product of two irreducible Virasoro vertex operator algebras. Furthermore, any rational, C_2-cofinite simple vertex operator algebra whose weight 1 subspace is zero and weight 2 subspace is 2-dimensional, and with central charge c=1 is isomorphic to L(1/2,0)\otimes L(1/2,0).

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BibTeXRIS

W. Zhang, C. Dong. 2007-11-28. W-algebra W(2,2) and the vertex operator algebra L(1/2,0)\otimes L(1/2,0). https://arxiv.org/abs/0711.4624

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