2011/08/20 by Bashkirov, Denis
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1108.4081
Based on the structure of the three-dimensional superconformal algebra we show that every irreducible \mathcal N=6 three-dimensional superconformal theory containes exactly one conserved U(1)-symmetry current in the stress tensor supermultiplet and that superconformal symmetry of every \mathcal N=7 superconformal theory is in fact enhanced to \mathcal N=8. Moreover, an irreducible \cal N=8 superconformal theory does not have any global symmetries. The first observation explains why all known examples of \mathcal N=6 superconformal theories have a global abelian symmetry.