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The tensor structure on the representation category of the Wp triplet algebra

Tsuchiya, Akihiro; Wood, Simon


Abstract We study the braided monoidal structure that the fusion product induces on the Abelian category Wp-mod, the category of representations of the triplet W-algebra Wp. The Wp-algebras are a family of vertex operator algebras that form the simplest known examples of symmetry algebras of logarithmic conformal field theories. We formalize the methods for computing fusion products, developed by Nahm, Gaberdiel and Kausch, that are widely used in the physics literature and illustrate a...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
Source: Journal of Physics A: Mathematical and Theoretical
DOI: 10.1088/1751-8113/46/44/445203


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