A note on the Boson-Fermion correspondence and infinite dimensional groups
A rigorous construction of certain formulae associated with the names of the physicists Skyrme, Dell-Antonio, Frishman, Zwanziger, Coleman and Mandelstam is given. The construction is motivated in part by the vertex operators used by \textit{G. B. Segal} [Commun. Math. Phys. 80, 301-342 (1981; Zbl 0495.22017)] to construct projective representation of loop groups and is a group theoretical version of the affine Lie algebra approach of \textit{I. B. Frenkel} [J. Funct. Anal. 44, 259-327 (1981; Zbl 0479.17003)] to similar questions. Subsequent work (currently in preprint form) of one of the authors (A.L.C.) with S.N.M. Ruijsenaars generalises these results to construct type III representations of affine Lie algebras.
projective representation of loop groups
scientific article; zbMATH DE number 3923464