On singleton composites in non-compact WZW models

Johan Engquist, Per Sundell, Laura Tamassia

Research output: Contribution to journalArticle

8 Citations (Scopus)


We examine the (2,D-1) WZW model at the subcritical level -(D-3)/2. It has a singular vacuum vector at Virasoro level 2. Its decoupling constitutes an affine extension of the equation of motion of the (D+1)-dimensional conformal particle, i.e. the scalar singleton. The admissible (spectrally flowed) representations contain the singleton and its direct products, consisting of massless and massive particles in AdSD. In D ≤ 4 there exists an extended model containing both scalar and spinor singletons of (4). Its realization in terms of 4 symplectic-real bosons contains the spinor-oscillator constructions of the 4D singletons and their composites. We also comment on the prospects of relating gauged versions of the models to the phase-space quantization of partonic branes and higher-spin gauge theory.

Original languageEnglish
Article number097
JournalJournal of High Energy Physics
Issue number2
Publication statusPublished - 1 Feb 2007


  • AdS-CFT correspondence
  • Conformal field models in string theory
  • Field theories in lower dimensions
  • Space-time symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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