6 problems

Higher level Zhu algebra conjecture. One has

Inner-automorphism invariance conjecture. There is a one-to-one correspondence between the simple objects in the category of lower bounded logarithmic $g$-twisted modules and the s…

Let $V$ be a finitely strongly generated simple vertex operator algebra of CFT type. Write … Here $X_V$ denotes the associated variety of $V$. The Zhu algebra variety conjecture. W…

Twisted Zhu-algebra dimension conjecture.

Center-and-trace dimension conjecture.

Let $p\geq 2$, let $A(\mathcal{W}(p))$ be the Zhu algebra of the triplet vertex algebra, and let $h_{i,1}$ denote the relevant conformal weights. For each $i$, let…