A spinor-like representation of the contact superconformal algebra K'(4)
High Energy Physics - Theory
2015-06-25 v2
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0011100,
title = {A spinor-like representation of the contact superconformal algebra K'(4)},
author = {Elena Poletaeva},
journal= {arXiv preprint arXiv:hep-th/0011100},
year = {2015}
}
Comments
19 pages, TeX. Corrections to the references in the paper to be published in J. Math. Phys. v 42, no 1, 2001