The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
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| Creator |
Adamovic, D.
Milas, A. |
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| Description |
We classify irreducible σ-twisted modules for the N = 1 super triplet vertex operator superalgebra SW(m) introduced recently [Adamovic D., Milas A., Comm. Math. Phys., to appear, arXiv:0712.0379]. Irreducible graded dimensions of σ-twisted modules are also determined. These results, combined with our previous work in the untwisted case, show that the SL(2,Z)-closure of the space spanned by irreducible characters, irreducible supercharacters and σ-twisted irreducible characters is (9m + 3)-dimensional. We present strong evidence that this is also the (full) space of generalized characters for SW(m). We are also able to relate irreducible SW(m) characters to characters for the triplet vertex algebra W(2m + 1), studied in [Adamovic D., Milas A., Adv. Math. 217 (2008), 2664-2699, arXiv:0707.1857].
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| Date |
2019-02-16T16:52:59Z
2019-02-16T16:52:59Z 2008 |
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| Type |
Article
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| Identifier |
The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector / D. Adamovic, A. Milas // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 30 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 17B69; 17B67; 17B68; 81R10 http://dspace.nbuv.gov.ua/handle/123456789/148011 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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