Vertex Algebras [...] and [...] and Constant Term Identities
We consider [...]-type orbifolds of the triplet vertex algebras [...] extending the well-known [...] orbifolds of lattice vertex algebras. We study the structure of Zhu's algebras [...] and [...], where [...] and [...] are cyclic and dihedral groups, respectively. A combinatorial algorithm for...
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Published in | Symmetry, integrability and geometry, methods and applications Vol. 11 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Kiev
National Academy of Sciences of Ukraine
01.01.2015
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Online Access | Get full text |
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Summary: | We consider [...]-type orbifolds of the triplet vertex algebras [...] extending the well-known [...] orbifolds of lattice vertex algebras. We study the structure of Zhu's algebras [...] and [...], where [...] and [...] are cyclic and dihedral groups, respectively. A combinatorial algorithm for classification of irreducible [...]-modules is developed, which relies on a family of constant term identities and properties of certain polynomials based on constant terms. All these properties can be checked for small values of [...] and [...] with a computer software. As a result, we argue that if certain constant term properties hold, the irreducible modules constructed in [Commun. Contemp. Math. 15 (2013), 1350028, 30 pages; Internat. J. Math. 25 (2014), 1450001, 34 pages] provide a complete list of irreducible [...] and [...]-modules. This paper is a continuation of our previous work on the [...] subalgebras of the triplet vertex algebra [...]. [ProQuest: [...] denotes formulae omitted.] |
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ISSN: | 1815-0659 |
DOI: | 10.3842/SIGMA.2015.019 |