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The N = 1 Triplet Vertex Operator Superalgebras (CROSBI ID 149846)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Adamović, Dražen ; Milas, Antun The N = 1 Triplet Vertex Operator Superalgebras // Communications in mathematical physics, 288 (2009), 1; 225-270. doi: 10.1007/s00220-009-0735-2

Podaci o odgovornosti

Adamović, Dražen ; Milas, Antun

engleski

The N = 1 Triplet Vertex Operator Superalgebras

We introduce a new family of C_2-cofinite N=1 vertex operator superalgebras SW(m), $m \geq 1$, which are natural super analogs of the triplet vertex algebra family W(p), $p \geq 2$, important in logarithmic conformal field theory. We classify irreducible SW(m)-modules and discuss logarithmic modules. We also compute bosonic and fermionic formulas of irreducible SW(m) characters. Finally, we contemplate possible connections between the category of SW(m)-modules and the category of modules for the quantum group U^{; ; small}; ; _q(sl_2), q=e^{; ; \frac{; ; 2 \pi i}; ; {; ; 2m+1}; ; }; ; , by focusing primarily on properties of characters and the Zhu's algebra A(SW(m)). This paper is a continuation of our paper [Adamovic D., Milas A., Adv. Math. 217 (2008), 2664-2699].

logarithmic conformal field theory; vertex operator superalgebras; W-algebras; N=1 Neveu-Schwarz Lie superalgebra; C_2 cofiniteness; quantum groups

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Podaci o izdanju

288 (1)

2009.

225-270

objavljeno

0010-3616

10.1007/s00220-009-0735-2

Povezanost rada

Fizika, Matematika

Poveznice
Indeksiranost