A family of regular vertex operator algebras with two generators

Dražen Adamović

Open Mathematics (2007)

  • Volume: 5, Issue: 1, page 1-18
  • ISSN: 2391-5455

Abstract

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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 3 m 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.

How to cite

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Dražen Adamović. "A family of regular vertex operator algebras with two generators." Open Mathematics 5.1 (2007): 1-18. <http://eudml.org/doc/268977>.

@article{DraženAdamović2007,
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.},
author = {Dražen Adamović},
journal = {Open Mathematics},
keywords = {Vertex operator algebras; vertex operator superalgebras; rationality; regularity; lattice vertex operator algebras},
language = {eng},
number = {1},
pages = {1-18},
title = {A family of regular vertex operator algebras with two generators},
url = {http://eudml.org/doc/268977},
volume = {5},
year = {2007},
}

TY - JOUR
AU - Dražen Adamović
TI - A family of regular vertex operator algebras with two generators
JO - Open Mathematics
PY - 2007
VL - 5
IS - 1
SP - 1
EP - 18
AB - 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.
LA - eng
KW - Vertex operator algebras; vertex operator superalgebras; rationality; regularity; lattice vertex operator algebras
UR - http://eudml.org/doc/268977
ER -

References

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