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Parabose algebra as an extension of conformal supersymmetry and multiparticle states. (English) Zbl 1202.81180

Summary: We consider generalized conformal supersymmetry constructed as parabose \(N = 4\) algebra. It is shown that sacrificing of manifest Lorentz covariance leads to interpretation of the generalized conformal supersymmetry as a symmetry that contains, on equal footing, two “rotation” groups. The necessary symmetry breaking is briefly considered. A connection is then established between Green’s Ansatz and multiparticle spaces, and some relations with spin-statistics connection are pointed out.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
17B69 Vertex operators; vertex operator algebras and related structures
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