Permutation orbifolds of the Heisenberg vertex algebra H(3)

We study the S3-orbifold of a rank three Heisenberg vertex algebra in terms of generators and relations. By using invariant theory, we prove that the orbifold algebra has a minimal strong generating set of vectors whose conformal weights are 1, 2, 3, 4, 5, 62 (two generators of degree 6). The struct...

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Bibliographic Details
Published in:Journal of mathematical physics 2019-02, Vol.60 (2)
Main Authors: Milas, Antun, Penn, Michael, Shao, Hanbo
Format: Article
Language:English
Subjects:
Algebra
Generators
Mathematical analysis
Permutations
Physics
Vectors (mathematics)
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Summary:We study the S3-orbifold of a rank three Heisenberg vertex algebra in terms of generators and relations. By using invariant theory, we prove that the orbifold algebra has a minimal strong generating set of vectors whose conformal weights are 1, 2, 3, 4, 5, 62 (two generators of degree 6). The structure of the cyclic Z3-orbifold is determined by similar methods. We also study characters of modules for the orbifold algebra.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5045164