Year: 2026
Type: preprint
Abstract: Let $V$ be a strongly rational vertex operator algebra and $G\leq\operatorname{Aut}(V)$ a finite group. We prove Huang's conjecture that the categories of $g$-twisted $V$-modules, for $g\in G$, form a $G$-crossed braided fusion category. This category is faithfully $G$-graded, with tensor products representing the complete twisted intertwining operators of Du-Huang, the canonical pullback $G$-action, and crossed braiding. In particular, the associativity, coherence and rigidity required by the conjecture all hold.
Source: arXiv (Cornell University)
Author: Xu, Shun
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223205479