2025/04/18 by Krivonos, Sergey, Nersessian, Armen · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2504.13651
Two variants of N=7 superconformal mechanics with manifest so(7) and su(2) × su(2) R-symmetries possessing exceptional G(3) dynamical symmetry are presented. To construct these G(3) theories, we developed two new versions of covariant embedding of the exceptional g2 algebra into the so(7) algebra and then the embedding of so(7) into so(8). As a result, two N=8 superconformal mechanics with the OSp(8|2) and F(4) superconformal algebras and N=7, G(3) superconformal mechanics were constructed in a uniform way. The constants of the octonion multiplication play a key role in the construction of superconformal mechanics with manifest so(7) symmetry.