Vertex Operator Algebra Realizations of Twisted Haagerup–Izumi Doubles
We construct vertex operator algebras realizing an infinite family of twisted, nonunitary Haagerup--Izumi doubles. For every odd integer $N\geq 3$, we construct a spherical fusion category $\mathcal{F}_N$ with the Haagerup--Izumi fusion rules for $\mathbb{Z}/N\mathbb{Z}$ and pointed associator of exact order $N$, and realize its Drinfeld center as the ribbon category of modules of an explicit vertex operator algebra $\mathscr{V}_N$. The construction begins with a uniform family of strongly rational Virasoro extensions, whose irreducible modules and theta-function characters we determine. A…
Comments and reviews
No comments yet.
API
curl /api/v1/records/hexagon/2610.00490
curl -X POST /api/v1/records/hexagon/2610.00490/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/hexagon/2610.00490/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"body": "…", "review": true}'