The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector (CROSBI ID 146818)
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Podaci o odgovornosti
Adamović, Dražen ; Milas, Antun
engleski
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 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].
vertex operator superalgebras; triplet vertex superalgebras; Ramond twisted representations
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Podaci o izdanju
4
2008.
087-1-087-24
objavljeno
1815-0659
10.3842/SIGMA.2008.087