10 problems

Let $N$ be the parameter controlling the curvature radius $\ell=N$ of $\mathbb{H}_3$, and let the dual conformal field theory have a $1/N$ expansion. Let quantum corrections to Kod…

Let $\mathbb{H}_3\subset SL(2,\mathbb{C})$ be hyperbolic three-space, viewed as the asymptotic-boundary geometry of the deformed conifold, and let Kodaira–Spencer theory be defined…

Let $\mathfrak{L}_\lambda$ be the dg Lie algebra formed by the modes of quasi-primary single-trace operators whose linear planar OPE terms and BRST action define the dg-Lie structu…

The theory under consideration is the B-model topological string theory, or BCOV theory, with target $SL(2,\mathbb{C})$, holographically related to the protected chiral algebra sub…

Twisted holography conjecture. The large-$N$ algebra of brane operators is predicted to coincide with this KK boundary algebra:

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

Let $\rho$ be a solution of the saddle equations, let ${\cal B}_\rho$ be the B-model D-brane associated with that saddle, and consider the large-$N$ expansion of correlators around…

Let $\det X$ be a determinant operator, and consider its BRST-closed modifications at leading order in $N$. The four towers are the modifications generated by the two bosonic const…

Consider a saddle of the large-$N$ equations for a correlation function of determinant or sub-determinant operators, together with its associated spectral curve and the natural Cha…

Let $\rho$ be a solution of the saddle equations for a correlation function of sub-determinants, and let ${\cal S}_\rho$ be the associated spectral curve in $SL(2,\mathbb{C})$, obt…