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Deformations and renormalisations ofW ∞

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Abstract

Deformations of the infiniteN limit of the ZamolodchikovW N 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.

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Author notes

  1. J. Nuyts

    Present address: Université de Mons-Hainaut, B-7000, Belgium

Authors and Affiliations

  1. Harvard University, 02138, Cambridge, MA, USA

    D. B. Fairlie

  2. CERN, CH-1211, Geneva 23, Switzerland

    J. Nuyts

Authors
  1. D. B. Fairlie
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  2. J. Nuyts
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Additional information

Communicated by N. Yu. Reshetikhin

On Research Leave from the University of Durham UK; research supported in part by the Department of Energy under Grant DE[FG02/88/ER25065, and by a grant from the Alfred P. Sloan Foundation

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Fairlie, D.B., Nuyts, J. Deformations and renormalisations ofW ∞ . Commun.Math. Phys. 134, 413–419 (1990). https://doi.org/10.1007/BF02097709

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