6 problems

Consider the universal Schwarzian sector of three-dimensional gravity and an analogous sum over three-dimensional geometries. Airy-density conjecture. The sum over $3$-geometries m…

In three-dimensional gravity with negative cosmological constant, the boundary description is sought in terms of two-dimensional conformal field theories with a large central charg…

Let $\mathbf{c}$ be the central charge of the gravity theory, and let $\mathbf{c}_{\rm crit}$ be the critical central charge determined by the given boundary chiral algebra. The Po…

The Virasoro vacuum character is the vacuum character of the Virasoro algebra, and a partition function is modular invariant when it is invariant under the modular group acting on…

In three-dimensional gravity with $\mu^2\ell^2=1$, one of the two central charges vanishes; this theory is called chiral gravity. Chiral gravity conjecture. Chiral gravity makes se…

Let $u_\mu$ be a Killing vector field on a three-dimensional spacetime, either null or non-null, whose scalars are constant. In the non-null case, suppose that the Gaussian curvatu…