5 papers · 1 filter
Permutation orbifolds and simple current extensions
Ching Hung Lam, Nina Yu
In this article, we study permutation orbifolds and simple current extensions in the framework of vertex operator (super)algebras. We extend the construction of permutation-twisted…
The classification of vertex operator algebras of OZ-type generated by Ising vectors of -type
Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi
We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of -type. As a consequence of the classification, we also prove that such VOAs are simple, rat…
Extra automorphisms of cyclic orbifolds of lattice vertex operator algebras
Ching Hung Lam, Hiroki Shimakura
In this article, we study the automorphism group of the cyclic orbifold of a vertex operator algebra associated with a rootless even lattice for a lift of a fixed-point free isomet…
Automorphism groups of parafermion vertex operator algebras: general case
Ching Hung Lam, Xingjun Lin, Hiroki Shimakura
We complete the program for determining the full automorphism groups of all parafermion vertex operator algebras associated with simple Lie algebras and positive integral levels. W…
Completely fixed point free isometry and cyclic orbifold of lattice vertex operator algebras
Hsian-Yang Chen, Ching Hung Lam
We continue our study of cyclic orbifolds of lattice vertex operator algebras and their full automorphism groups. We consider some special isometry such that is f…