Isometric solutions to the heterotic ${\mathrm{G}}_2$-system

Viviana del Barco, Udhav Fowdar, Andrés J. Moreno

In this note, we construct new solutions to the heterotic ${\mathrm{G}}_2$-system with non-abelian gauge group, both compact and non-compact, on certain $2$-step nilmanifolds and $3$…