Explicit description of twisted Wakimoto realizations of affine Lie algebras

L. Fehér, B. G. Pusztai

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3 Citations (Scopus)


In a vertex algebraic framework, we present an explicit description of the twisted Wakimoto realizations of the affine Lie algebras in correspondence with an arbitrary finite order automorphism and a compatible integral gradation of a complex simple Lie algebra. This yields generalized free field realizations of the twisted and untwisted affine Lie algebras in any gradation. The free field form of the twisted Sugawara formula and examples are also exhibited.

Original languageEnglish
Pages (from-to)509-532
Number of pages24
JournalNuclear Physics B
Issue number3
Publication statusPublished - Dec 15 2003



  • Affine Lie algebra
  • Twisted Wakimoto realization
  • Vertex algebra

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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