4 problems

Let $n>1$ be an integer, and consider the quotient of the affine $\mathfrak{psl}(n|n)$ vertex operator algebra at level $1$ supported at the boundary of the 3d $\mathcal{N}=4$ theo…

Well-defined 3D TQFT conjecture. The above assignments of the values of $Z$ are part of the data of a well-defined 3D TQFT.

Universal property conjecture. The category $\mathrm{Hom}(\mathbb{I}\mathrm{d},\mathbb{I}\mathrm{d})$ is universal among categories equipped with this collection of functors and na…

Inverse-limit conjecture. The category $\mathrm{Hom}(\mathbb{I}\mathrm{d},\mathbb{I}\mathrm{d})$ is the inverse limit of the Drinfeld centers…