The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
| dc.creator | Adamovic, Drazen | |
| dc.creator | Milas, Antun | |
| dc.date | 2008-06-22 | |
| dc.date | 2008-12-13 | |
| dc.date.accessioned | 2026-07-07T12:12:17Z | |
| dc.date.available | 2026-07-07T12:12:17Z | |
| dc.description | We classify irreducible $σ$-twisted modules for the N=1 super triplet vertex operator superalgebra $\mathcal{SW}(m)$ 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 $SL(2,\mathbb{Z})$-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 $\mathcal{SW}(m)$. We are also able to relate irreducible $\mathcal{SW}(m)$ characters to characters for the triplet vertex algebra $\mathcal{W}(2m+1)$, studied in [Adamovic D., Milas A., Adv. Math. 217 (2008), 2664-2699, arXiv:0707.1857]. | |
| dc.description | This is a contribution to the Special Issue on Kac-Moody Algebras and Applications, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0806.3560 | |
| dc.identifier | http://arxiv.org/abs/0806.3560 | |
| dc.identifier | SIGMA 4 (2008), 087, 24 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210497 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.title | The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector | |
| dc.type | text |