The heterotic G2 system with reducible characteristic holonomy

We construct solutions to the heterotic G 2 system on almost contact metric manifolds with reduced characteristic holonomy. We focus on 3-(α,δ)-Sasaki manifolds and (α,δ)-Sasaki manifolds, the latter being a convenient reformulation of spin η-Einstein α-Sasaki manifolds. Investigating a 1-parameter family of G 2-connections on the tangent bundle, we obtain several approximate solutions as well as one new class of exact solutions on degenerate 3-(α,δ)-Sasaki manifolds.