Vertex operator construction of the SO(2n+1) Kac-Moody algebra and its spinor representation

Orlando Alvarez, Paul Windey, Michelangelo Mangano

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

An explicit representation of the Bn (1) affine Lie algebra (Kac-Moody algebra) is constructed in terms of vertex operators associated with the Chevalley basis of the underlyingfinite-dimentsionnal Lie algebra. This construction, contrary to the simpler current algebra one, gives a concrete realization of the spinor representation of the algebra. The key feature is a partial bosonization of two-dimensional Weyl-Majorana free fermions. The vertex operators associated with the long and short roots of the Bn algebra have fermion number zero and one, respectively.

Original languageEnglish (US)
Pages (from-to)317-331
Number of pages15
JournalNuclear Physics B
Volume277
Issue numberC
DOIs
StatePublished - 1986
Externally publishedYes

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algebra
apexes
operators
fermions
current algebra

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Vertex operator construction of the SO(2n+1) Kac-Moody algebra and its spinor representation. / Alvarez, Orlando; Windey, Paul; Mangano, Michelangelo.

In: Nuclear Physics B, Vol. 277, No. C, 1986, p. 317-331.

Research output: Contribution to journalArticle

Alvarez, Orlando ; Windey, Paul ; Mangano, Michelangelo. / Vertex operator construction of the SO(2n+1) Kac-Moody algebra and its spinor representation. In: Nuclear Physics B. 1986 ; Vol. 277, No. C. pp. 317-331.
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