8 problems

The transverse symmetry and absence of correlations reduce the area-density problem to a chiral theory on a lightray, which is mapped by a Cayley transform to a chiral theory on th…

Let $\mathcal{P}_{\mathcal{C},\lambda,h,s}=\{\mathcal{C},\lambda,h,s\}$ be a holography package consisting of a smooth cyclic $A_\infty$-category $\mathcal{C}$, an object…

Backreacted Calabi–Yau category conjecture. Given a holography package $\mathcal{P}_{\mathcal{C},\lambda,h,s}$ as above, there is a family of Calabi–Yau categories…

Large-$N$ holography conjecture. The large $N$ limit of the open string algebra $\mathcal{A}^{N,K}$ is the celestial chiral algebra for the self-dual integrable…

Let $N$ be a positive integer, and let $Obs_N(0)$ denote the local operators of the theory on a stack of $N$ fivebranes wrapping $C^3$ in $R\times C^5$. Let $\mathcal G_N$ be the l…

Consider a $D$-brane in type IIA or IIB string theory, a brane in the topological string, or a brane in $M$-theory, viewed as a defect in the string theory or supergravity theory.…

Let $(X,G)$ be the bulk with boundary $M$, and let $\tilde{D}=-\Delta_G$ and $D=-\Delta_g$ be the bulk and boundary Laplace--Beltrami operators, respectively. Here $\lambda$ is an…

Let $g_{ij}(\tau)$ be a continuous family of metrics on a Riemannian manifold $\left(M^d,\partial\right)$ whose boundary has non-outward-pointing mean curvature. Let…