T-branes in G2 backgrounds

<!--HTML-->We consider compactifications of M-theory on 7-dimensional manifolds with G2 holonomy and focus on gauge theory sectors that are built as 3-manifolds of ADE singularities. We build novel gauge theory configurations that involve non-commuting normal deformations as well as gauge theory magnetic fluxes and provide methods to detect the presence of localised zero modes that can descend to chiral multiplets in 4d. Some solutions seem to suggest that even co-dimension 6 singularities in a G2 manifold can host chiral matter, an observation that might be fruitful in the construction of particle physics models from M-theory.