Full field algebras, operads and tensor categories

DOI10.1016/j.aim.2006.12.007zbMath1115.18002arXivmath/0603065OpenAlexW2074958614MaRDI QIDQ2370164

Liang Kong

Publication date: 22 June 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603065

zbMATH Keywords

vertex operator algebra

Mathematics Subject Classification ID

Related Items (15)

A mathematical theory of gapless edges of 2d topological orders. I ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ The boundary phase transitions of the 2+1D \(\mathbb{Z}_N\) topological order via topological Wick rotation ⋮ Wightman fields for two-dimensional conformal field theories with pointed representation category ⋮ Gapless edges of 2d topological orders and enriched monoidal categories ⋮ Unnamed Item ⋮ Open-closed field algebras ⋮ Unitarity of the modular tensor categories associated to unitary vertex operator algebras. I ⋮ A mathematical theory of gapless edges of 2d topological orders. II. ⋮ Morita classes of algebras in modular tensor categories ⋮ Modular invariance for conformal full field algebras ⋮ Cardy condition for open-closed field algebras ⋮ Cardy algebras and sewing constraints. I ⋮ Gluing vertex algebras ⋮ Braided tensor categories and extensions of vertex operator algebras

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