The extensions of $L_{s{l}_2}(k,0)$ and preunitary vertex operator algebra with central charges $c<1$

Abstract

The extensions of the affine vertex operator algebras $L_{s{l}_2}(k,0)$ and the preunitary vertex operator algebras with central charges $c<1$ are classified. In particular, the unitary vertex operator algebras with central charges $c<1$ are classified.

27 pages

References in corpus (2)

• Braided tensor categories and extensions of vertex operator algebras
• Mirror extensions of rational vertex operator algebras

Cited by in corpus (6)

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• The irreducible modules and fusion rules for the parafermion vertex operator algebras
• Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models
• Orthosymplectic Feigin-Semikhatov duality
• Conformal nets from minimal W-algebras