Costello's twisted holography principle

Consider a stack of branes in twisted string theory or M-theory. Let $\mathcal{A}_N$ be the algebra of local operators of the twisted supersymmetric gauge theory living on a stack of $N$ branes, in the limit $N\to\infty$, and let $\mathcal{B}$ be the algebra of local operators of twisted supergravity restricted to the location of the branes.

Twisted holography principle. These two algebras should be Koszul dual:

$$\lim_{N\to\infty}\mathcal{A}_N=\mathcal{B}^!.$$

This is the twisted form of the holography principle proposed by Costello, relating local operators on branes to operators in twisted supergravity. The source presents it as a conjectural principle; no resolution is specified here.