The embedding structure of unitary N=2 minimal models

TL;DR

This paper analyzes the embedding structure of unitary N=2 minimal models, revealing degenerations of uncharged singular states, correcting previous errors, and providing proofs for the embedding diagrams.

Contribution

It presents a corrected and detailed derivation of the embedding structure of N=2 minimal models, including singular state degenerations and proofs for embedding diagrams.

Findings

Degeneration of uncharged singular states identified

Corrections to earlier literature made

Embedding diagrams formally proven

Abstract

We derive the embedding structure of unitary N=2 minimal models and show as a result that these representations have a degeneration of uncharged singular states. This corrects some earlier mistakes made in the literature. We discuss the connexion to the N=2 character formulae and finally give a proof for the embedding diagrams.