7 problems

Strong-coupling closure conjecture. Closed conformal field theory is the exact solution to the strongly coupled large-$N_c$ limit of open conformal field theory.

Let $m,n,p$ be nonnegative integers, and consider the punctured space … Let $\mathcal O$ be the sheaf of smooth functions on this space that are constant along $\mathbb R^m$ and ho…

Consider self-dual Yang–Mills theory on Burns space with gauge group $\operatorname{SO}(8)$, and let the large $N$ chiral algebra be the celestial chiral algebra described in the p…

Let $W_{2s}$ denote the even-spin primary generators of an even spin $W_\infty$ algebra, let $c$ be its central charge, and define the scale-invariant ratio … Here $C_{ij}^k$ denot…

Associative deformation conjecture. The $hbar$-derivative of the operator product expansion defines an associative deformation of the OPE algebra.

Let $\epsilon$ be the parameter governing the limiting procedure to the logarithmic theory, and let the different definitions of the field $\psi_2(z)$ arise from the alternative fu…

Let $\mathfrak{W}_{n,\ell}$ be an extended algebra constructed from $\widehat{\mathfrak{gl}}(1\mid 1)$, and let $W^{(2)}_N$ denote the Feigin–Semikhatov algebra at level $K$. Expli…