# A family of regular vertex operator algebras with two generators

Open Mathematics (2007)

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

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topDražen 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 -

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