2 problems

Trivial LGBs are associated with pre-classical theories. There exists a $\lambda \in \Omega^1(M;\mathcal{g})$ such that $\widetilde{\nabla^{\mathrm{YM}}}^{\lambda}$ is flat.

Let $M$ be a manifold and let ${\cal D}$ range over all discretizations of $M$. Denote by $\boldsymbol{\operatorname{Conn}} /\!/ \boldsymbol{\operatorname{Gauge}}(M,\mathcal{G})$ t…