Generalised Virasoro Constructions from Affine Inonu-Wigner Contractions

Details Generalised Virasoro Constructions from Affine Inonu-Wigner Contractions Generalised Virasoro Constructions from Affine Inonu-Wigner Contractions

1992-09-23

arxiv.org/abs/hep-th/9209090v1

Class.Quant.Grav.10:L173-L181,1993

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, plain TeX, KUL-TF-92/37

Scientific paper

10.1088/0264-9381/10/9/011

We present a new method to find solutions of the Virasoro master equations for any affine Lie algebra $\widehat{g}$. The basic idea is to consider first the simplified case of an In\"on\"u-Wigner contraction $\widehat{g}_c$ of $\widehat{g}$ and to extend the Virasoro constructions of $\widehat{g}_c$ to $\widehat{g}$ by a perturbative expansion in the contraction parameter. The method is then applied to the orthogonal algebras, leading to fixed-level multi-parameter Virasoro constructions, which are the generalisations of the one-parameter Virasoro construction of $\widehat{su}(2)$ at level four.

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