Naslov
The N = 1 Triplet Vertex Operator Superalgebras

Autori
Adamović, Dražen ; Milas, Antun

Izvornik
Communications in mathematical physics (0010-3616) 288 (2009), 1; 225-270

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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].

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika

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