2011arXiv (Cornell University)Open access

Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra

Yi-Zhi Huang, James Lepowsky, Lin Zhang

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Abstract

This is the eighth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (Part VIII), we construct the braided tensor category structure, using the previously developed results.

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This is the eighth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (Part VIII), we construct the braided tensor category structure, using the previously developed results.

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Available abstract

This is the eighth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (Part VIII), we construct the braided tensor category structure, using the previously developed results.

Key concepts: Mathematics, Vertex operator algebra, Vertex (graph theory), Tensor (intrinsic definition), Algebra over a field, Pure mathematics, Tensor algebra, Tensor contraction

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