The $\mathcal {OSP}(2,2|16)$ superconformal theory is free!
High Energy Physics - Theory
2015-06-11 v1
Abstract
The SuperConformal theory in three space-time dimensions with SO(16) -symmetry, 128 bosons, and 128 fermions, cannot sustain interactions. This result is obtained using both light-cone superspace techniques which rely on algebraic consistency, and covariant methods which rely on SO(16) Fierz identities which fail to produce the desired algebra.
Keywords
Cite
@article{arxiv.1208.1699,
title = {The $\mathcal {OSP}(2,2|16)$ superconformal theory is free!},
author = {Dmitry Belyaev and Patrick Hearin and Pierre Ramond},
journal= {arXiv preprint arXiv:1208.1699},
year = {2015}
}
Comments
14 pages