Generalised Virasoro Constructions from Affine Inonu-Wigner Contractions

Abstract

We present a new method to find solutions of the Virasoro master equations for any affine Lie algebra $\hat{g}$. The basic idea is to consider first the simplified case of an Inönü-Wigner contraction ${\hat{g}}_c$ of $\hat{g}$ and to extend the Virasoro constructions of ${\hat{g}}_c$ to $\hat{g}$ 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.

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

Cited by in corpus (2)

• Irrational Conformal Field Theory
• Graded contractions of bilinear invariant forms of Lie algebras