Representations and characters of the Virasoro algebra and N=1 super-Virasoro algebras

Details Representations and characters of the Virasoro algebra and N=1 super-Virasoro algebras Representations and characters of the Virasoro algebra and N=1 super-Virasoro algebras

2007-09-02

arxiv.org/abs/0709.0105v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 2 figures, TEX with harvmac using amssym.def, amssym.tex, epsf.tex; Encyclopedia entry

Scientific paper

We present the list of irreducible (generalized) highest weight modules over the Virasoro algebra and N=1 super-Virasoro algebras obtained as factor-modules of (generalized) Verma modules. We present also the character formulae of all these modules and single out the unitary irreducible ones. Most formulas are valid for the three algebras under consideration, the different cases being distinguished by two parameters. This is a slightly extended version of an Encyclopedia entry.

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