4 problems

Let $K$ be a finitely generated free ${\cal D}_X$-module, and let $SK$ denote the associated chiral algebra. Let $\mathrm{def}_{SK}$ be its deformation pro-$*$-Lie algebra, and let…

qDS reduction conjecture. The chiral algebra associated to the class $\mathcal{S}$ theory with a puncture of type $\Lambda$ is obtained by performing qDS reduction with respect to…

Genus-zero chiral algebra conjecture. The protected chiral algebra is a $\mathcal{W}$-algebra with singlet generators $W_i$, $i=1,\ldots,n$, of dimension $i+1$, together with addit…

The Tn chiral algebra conjecture. The protected chiral algebra of the $T_n$ SCFT for any $n\geqslant3$ is a $\mathcal{W}$-algebra with the following generators: three sets of…