5 problems

Boundary partition-function conjecture. Generalizing the diagonal case, the boundary partition function should satisfy

Internal Hom conjecture. We conjecture that the boundary operator products can be expressed through the structure maps of these internal Homs.

Extended minimal-model coexistence conjecture. The coexistence of incompatible modules on the bulk and boundary may also apply to other extended minimal models, such as the $O(1)$…

Sector-separation conjecture. The apparent contradiction is resolved if the two incompatible modules belong to different sectors, whether bulk or boundary, and all bulk-boundary fu…

Let $p$ and $q$ specify logarithmic $(p,q)$ models, and let Cardy states mean boundary states satisfying the Cardy condition. Cardy-state count conjecture. There are … Cardy states…