The N=1 triplet vertex operator superalgebras

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dc.creatorAdamovic, Drazen
dc.creatorMilas, Antun
dc.date2007-12-03
dc.date2008-11-11
dc.date.accessioned2026-07-07T13:04:33Z
dc.date.available2026-07-07T13:04:33Z
dc.descriptionWe 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 πi}{2m+1}}, by focusing primarily on properties of characters and the Zhu's algebra A(SW(m)). This paper is a continuation of arXiv:0707.1857.
dc.description53 pages; v2: references added; v3: a few changes; v4: final version, to appear in CMP
dc.identifierhttps://arxiv.org/abs/0712.0379
dc.identifierhttp://arxiv.org/abs/0712.0379
dc.identifierCommun.Math.Phys.288:225-270,2009
dc.identifierdoi:10.1007/s00220-009-0735-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227202
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.titleThe N=1 triplet vertex operator superalgebras
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