$\rm G_2$ holonomy manifolds are superconformal
  We study the chiral de Rham complex (CDR) over a manifold $M$ with holonomy $\rm G_2$. We prove that the vertex algebra of global sections of the CDR associated to $M$ contains two commuting copies of the Shatashvili-Vafa $\rm G_2$ superconformal algebra. Our proof is a tour de force, based on explicit computations. 
L\'azaro O. Rodr\'iguez D\'iaz
math.QA hep-th math-ph math.MP