Fusion rules for the triplet W-algebra Wp+,p-
Abstract
We study the structure of fusion rules for the triplet W-algebra Wp+,p-. By using the vertex tensor category theory developed by Huang, Lepowsky and Zhang, we rederive certain non-semisimple fusion rules given by Gaberdiel-Runkel-Wood and Rasmussen. We further show that certain rank two and three indecomposable modules are self-dual.
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