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The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
Інший ID:
2000 Mathematics Subject Classification: 17B69; 17B67; 17B68; 81R10
Посилання:
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.
Підтримка:
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.
Дата:
2008
Переглядів:
588
Завантажень:
380
Анотація:
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].
