2 problems

Let $M$ be an $8$-dimensional Riemannian manifold with holonomy $Spin_7$, and let $\Omega^{ch}_M$ denote its chiral de Rham complex. Write $C^\infty(M,\Omega^{ch}_M)$ for the assoc…

Shatashvili–Vafa algebra conjecture. The section pairs $\{\Phi_{+},K_{+}\}$ and $\{\Phi_{-},K_{-}\}$ generate two commuting copies of the Shatashvili–Vafa $G_{2}$ superconformal al…