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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access March 1, 2007

A family of regular vertex operator algebras with two generators

  • Dražen Adamović EMAIL logo
From the journal Open Mathematics


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.

MSC: 17B69

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Published Online: 2007-3-1
Published in Print: 2007-3-1

© 2007 Versita Warsaw

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