A spinor-like representation of the contact superconformal algebra K'(4)

Details A spinor-like representation of the contact superconformal algebra K'(4) A spinor-like representation of the contact superconformal algebra K'(4)

2000-11-13

arxiv.org/abs/hep-th/0011100v2

J.Math.Phys. 42 (2001) 526-540

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, TeX. Corrections to the references in the paper to be published in J. Math. Phys. v 42, no 1, 2001

Scientific paper

In this work we construct an embedding of a nontrivial central extension of
the contact superconformal algebra K'(4) into the Lie superalgebra of
pseudodifferential symbols on the supercircle S^{1|2}. Associated with this
embedding is a one-parameter family of spinor-like tiny irreducible
representations of K'(4) realized just on 4 fields instead of the usual 16.

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