The embedding structure of unitary N=2 minimal models

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.

Latex, 16 pages

References in corpus (4)

• Chiral Determinant Formulae and Subsingular Vectors for the N=2 Superconformal Algebras
• Characters of admissible representations of the affine superalgebra sl(2|1)
• Embedding Diagrams of N=2 Verma Modules and Relaxed ^sl(2) Verma Modules
• Transmutations between Singular and Subsingular Vectors of the N=2 Superconformal Algebras

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• Highest weight representations of the N=1 Ramond algebra
• Embedding Diagrams of the N=2 Superconformal Algebra under Spectral Flow
• Modular invariant representations of the $\mathcal{N}=2$ superconformal algebra
• Equivalences between weight modules via $\mathcal{N}=2$ coset constructions
• Singular dimensions of the N=2 superconformal algebras. I
• On the elliptic genera of manifolds of Spin(7) holonomy
• On resolution of highest weight modules over the $\mathcal{N}=2$ superconformal algebra
• Intertwining operator superalgebras and vertex tensor categories for superconformal algebras, II
• Non-unitary minimal models, Bailey's lemma and N=1,2 superconformal algebras
• Recent Results on N=2 Superconformal Algebras
• The Derivation algebra and automorphism group of the generalized Ramond N=2 superconformal algebra