3 problems

Let $Y_{0,M,N}$ be a $Y$-algebra with one label equal to zero. The KL-category conjecture. The corresponding $Y_{0,M,N}$-algebra should have categories of type…

Let $Y_{L,M,N}[\psi]$ be a $Y$-algebra, and let $\mathcal H\otimes\mathcal W(c,\lambda)$ be the universal two-parameter $\mathcal W_{1+\infty}$-algebra. Gaiotto–Rapčák's conjecture…

Procházka–Rapčák's conjectures. The truncation curves of $\mathcal W(c,\lambda)$ should have the precise formula conjectured by Procházka and Rapčák, and $Y_{L,M,N}[\psi]$ should h…