Communications in Mathematical Physics

, Volume 134, Issue 2, pp 413–419 | Cite as

Deformations and renormalisations ofW

  • D. B. Fairlie
  • J. Nuyts
Article

Abstract

Deformations of the infiniteN limit of the ZamolodchikovWN algebra are discussed. A recent one, due to Pope, Romans and Shen with non-zero central extensions for every conformal spin is shown to be formally renormalisable to one representable in Moyal bracket form. Another deformation is discovered which, like the algebra of Pope et al. possesses automatic closure, but has non-zero central extension only in the Virasoro subalgebra.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 

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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • D. B. Fairlie
    • 1
  • J. Nuyts
    • 2
  1. 1.Harvard UniversityCambridgeUSA
  2. 2.CERNGeneva 23Switzerland

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