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A family of regular vertex operator algebras with two generators

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Central European Journal of Mathematics

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Zagreb, 10 000, Zagreb, Croatia

    Dražen Adamović

Authors
  1. Dražen Adamović
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Adamović, D. A family of regular vertex operator algebras with two generators. centr.eur.j.math. 5, 1–18 (2007). https://doi.org/10.2478/s11533-006-0045-2

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  • DOI: https://doi.org/10.2478/s11533-006-0045-2

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