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Z_3 symmetry and W_3 algebra in lattice vertex operator algebras

C. Dong·C. H. Lam·K. Tanabe·H. Yamada·K. Yokoyama
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Abstract

The W_3 algebra of central charge 6/5 is realized as a subalgebra of the vertex operator algebra V_{\sqrt{2}A_2} associated with a lattice of type \sqrt{2}A_2 by using both coset construction and orbifold theory. It is proved that W_3 is rational. Its irreducible modules are classified and constructed explicitly. The characters of those irreducible modules are also computed.

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C. Dong, C. H. Lam, K. Tanabe, H. Yamada, K. Yokoyama. 2003-02-25. Z_3 symmetry and W_3 algebra in lattice vertex operator algebras. https://arxiv.org/abs/math/0302314

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