$Z^N$-graded Lie algebras: Fock representations and reducibility conditions

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dc.creatorLarsson, T. A.
dc.date1992-12-09
dc.date.accessioned2026-07-07T04:19:04Z
dc.date.available2026-07-07T04:19:04Z
dc.descriptionManifestly consistent Fock representations of non-central (but ``core-central'') extensions of the $Z^N$-graded algebras of functions and vector fields on the $N$-dimensional torus $T^N$ are constructed by a kind of renormalization procedure. These modules are of lowest-energy type, but the energy is not a linear function of the momentum. Modulo a technical assumption, reducibility conditions are proved for the extension of $vect(T^N)$, analogous to the discrete series of Virasoro representations.
dc.descriptionLaTeX, 21 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9212055
dc.identifierhttp://arxiv.org/abs/hep-th/9212055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53445
dc.subjectHigh Energy Physics - Theory
dc.title$Z^N$-graded Lie algebras: Fock representations and reducibility conditions
dc.typetext

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