The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
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 ou...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2008 |
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| Sprache: | English |
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Інститут математики НАН України
2008
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| Zitieren: | 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. |
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Adamovic, D. Milas, A. 2019-02-16T16:52:59Z 2019-02-16T16:52:59Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/148011 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]. This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. The second author was partially supported by NSF grant DMS-0802962. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector |
| spellingShingle |
The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector Adamovic, D. Milas, A. |
| title_short |
The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector |
| title_full |
The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector |
| title_fullStr |
The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector |
| title_full_unstemmed |
The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector |
| title_sort |
n = 1 triplet vertex operator superalgebras: twisted sector |
| author |
Adamovic, D. Milas, A. |
| author_facet |
Adamovic, D. Milas, A. |
| publishDate |
2008 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148011 |
| citation_txt |
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. |
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2025-12-07T18:18:32Z |
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2025-12-07T18:18:32Z |
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