4 problems

Let $M$ be a three-dimensional twisted torus, let $\widetilde{M}=M\times S^1$ be the corresponding trivial circle bundle with coordinates $x^\mu=(x^i,x^4)$, and let $p_\mu$ be the…

Let $\mathcal{M}$ be a compact manifold, let $\mathfrak{g}$ be the relevant finite-dimensional algebra, for example $E_{d(d)}$, and let $L^{2}(\mathcal{M})$ provide a basis. Let…

Flux-dependent identification conjecture. For each flux configuration ${F^C}_{AB}$, an identification like $t^{(1)}_M\sim {A_M}^N z_N$ exists.

Physical-subspace constraint conjecture. The physical subspace $\mathcal{M}\subset\mathcal{M}^\star$ is the space subject to