How General Is Holography?

Understand

In this thesis I explore the generality of the holographic principle in 2+1 (bulk) dimensions by looking at the possibility of having holographic correspondences for non-AdS (higher-spin) spacetimes.

• The first part focuses on Lobachevsky spacetimes with $\mathfrak{sl}(4,\mathbb{R})$ as well as $\mathcal{W}^{(2)}_N$ symmetries, the asymptotic symmetry algebras and their unitary representations.
• This results in a family of unitary $\mathcal{W}^{(2)}_N$ models that can have both small and large central charge.
• The focus of the second part is a possible holographic correspondence in asymptotically flat spacetimes.