A note on conformal embeddings of $N=2$ minimal models
Year: 2026
Type: preprint
Abstract: The classification of highest-weight modules by Creutzig, Liu, Ridout and Wood gives a short obstruction to conformal embeddings into tensor products containing a non-unitary $N=2$ minimal model. Combined with a low-weight rigidity argument, it leaves precisely the three known unitary embeddings, unique up to the standard automorphisms of the factors. This note gives the argument and its representation-theoretic inputs explicitly.
Author: Nicolas, Jérôme
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213670247