Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities
|
|
| Creator |
Adamović, D.
Lin, X. Milas, A. |
|
| Description |
We consider AD-type orbifolds of the triplet vertex algebras W(p) extending the well-known c=1 orbifolds of lattice vertex algebras. We study the structure of Zhu's algebras A(W(p)Am) and A(W(p)Dm), where Am and Dm are cyclic and dihedral groups, respectively. A combinatorial algorithm for classification of irreducible W(p)Γ-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 m and p 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 W(p)Am and W(p)Dm-modules. This paper is a continuation of our previous work on the ADE subalgebras of the triplet vertex algebra W(p).
|
|
| Date |
2019-02-12T18:04:23Z
2019-02-12T18:04:23Z 2015 |
|
| Type |
Article
|
|
| Identifier |
Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities / D. Adamović, X. Lin, A. Milas // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 15 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 17B69 DOI:10.3842/SIGMA.2015.019 http://dspace.nbuv.gov.ua/handle/123456789/146992 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|