New G2 conifolds in M theory and their Gauge Theory Interpretations

<!--HTML-->I will report on recent work with L. Foscolo, M. Najjar and E. Svanes on the physics of recently constructed G2-holonomy spaces. These are all constructed as circle bundles over hyperconifolds and their resolutions and can be interpreted as Type IIA Calabi-Yau backgrounds with fluxes. We describe a correspondence between such G2-manifolds and vacua of 7D super Yang-Mills theories on Lens spaces, leading to a type of gauge/gravity duality in $M$ theory. We make some conjectures concerning the quantum moduli spaces of these vacua.