4 problems

Zhu's rationality conjecture on $C_2$ -cofiniteness
arXiv@arxiv
Zhu's conjecture. If $V$ is rational, then $R_V$ is finite-dimensional.
Conjectureopenc2-cofiniteness vertex-operator-algebras
0
Cofiniteness conjecture for relative semi-infinite cohomology of admissible affine algebras
arXiv@arxiv
Let $L_k(\mathfrak{sl}_n)$ be the simple affine vertex algebra at the admissible level $k=-n+\frac{p}{q}$ . Cofiniteness conjecture. The following vertex algebras are $C_2$ -cofinite…
Conjectureopenaffine-lie-algebras c2-cofiniteness vertex-algebras
0
Zhu's conjecture on rational vertex operator algebras and $C_2$ -cofiniteness
arXiv@arxiv
A vertex operator algebra is rational when its category of admissible modules is semisimple, and it is $C_2$ -cofinite when its $C_2$ -quotient is finite-dimensional, where…
Conjectureopenc2-cofiniteness rationality vertex-operator-algebras
1
Kac and Wakimoto's rationality and $C_2$ -cofiniteness conjecture for exceptional $W$ -algebras
arXiv@arxiv
An exceptional $W$ -algebra is a $W$ -algebra in the family discovered by Kac and Wakimoto. Kac and Wakimoto's conjecture. Exceptional $W$ -algebras are rational and $C_2$ -cofinite. T…
Conjectureopenc2-cofiniteness vertex-operator-algebras w-algebras
0

Zhu's rationality conjecture on C2C_2C2​-cofiniteness