4 problems

$\operatorname{osp}(1|4)$ vacuum-character conjecture. This series is the specialized vacuum character of the affine $\operatorname{osp}(1|4)$ algebra at level $1$. The claim is at…

Let $M$ be the monodromy operator of a four-dimensional ${\mathcal N}=2$ superconformal field theory, and let $N>1$ be an integer. Denote by $\operatorname{Tr}M^N$ the trace of its…

AD/W-minimal-model correspondence conjecture. A class of AD theories should correspond to non-unitary W minimal models.

Let $p$, $q$, and $t$ be superconformal-index fugacities, let $a_1$ and $a_2$ be fugacities for the $SU(3)$ flavor symmetry, and let $z$ be the gauge-integration variable. Write…