5 papers
Character Identities Between Affine and Virasoro Vertex Operator Algebra Modules
Dražen Adamović, Sven Möller
The affine vertex operator algebras for and the Virasoro minimal models are related by Drinfeld-Sokolov reduction and by the Goddard-Kent-Olive coset construction…
Modular -Crossed Tambara-Yamagami-like Categories for Even Groups
César Galindo, Simon Lentner, Sven Möller
We explicitly construct nondegenerate braided -crossed tensor categories of the form . They are -…
Equivalence Relations on Vertex Operator Algebras, II: Witt Equivalence and Orbifolds
Sven Möller, Brandon C. Rayhaun
When can two strongly rational vertex operator algebras or 1+1d rational conformal field theories (RCFTs) be related by topological manipulations? For vertex operator algebras, the…
Computing -Crossed Extensions and Orbifolds of Vertex Operator Algebras
César Galindo, Simon Lentner, Sven Möller
In this article, we develop tools for computing -crossed extensions of braided tensor categories. Their equivariantisations appear as categories of modules of fixed-point subalg…
Equivalence Relations on Vertex Operator Algebras, I: Genus
Sven Möller, Brandon C. Rayhaun
In this first of a series of two papers, we investigate two different equivalence relations obtained by generalizing the notion of genus of even lattices to the setting of vertex o…