A family of regular vertex operator algebras with two generators

• Autorzy: Dražen Adamović
• Języki publikacji: EN

Abstrakty

EN

For every m ∈ ℂ ∖ {0, −2} and every nonnegative integer k we define the vertex operator (super)algebra D m,k having two generators and rank $$\frac{{3m}}{{m + 2}}$$ . If m is a positive integer then D m,k can be realized as a subalgebra of a lattice vertex algebra. In this case, we prove that D m,k is a regular vertex operator (super) algebra and find the number of inequivalent irreducible modules.

Słowa kluczowe

EN

Vertex operator algebras; vertex operator superalgebras; rationality; regularity; lattice vertex operator algebras

Kategorie tematyczne

• 17B69: Vertex operators; vertex operator algebras and related structures

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 1
• Strony: 1-18

Daty

wydano

2007-03-01

online

2007-03-01

Twórcy

autor

Dražen Adamović

• University of Zagreb

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-006-0045-2