Studies Of Traversable Wormholes And Holography

This dissertation is based on studies of traversable wormholes within the context of the holographic duality. First, we study the traversability obtained via the introduction of a direct coupling between the two asymptotic boundaries of a non-traversable wormhole and we construct a traversable wormhole with angular momentum. We discuss its dual interpretation and the implications to the information transfer. Second, we study the relation between the Sachdev-Ye-Kitaev (SYK) model and an eternal traversable wormhole with global a AdS2 geometry. We consider a sparse version of the SYK model defined via a regular hypergraph and we numerically simulate a system of two copies of the sparse SYK coupled by a bilinear interaction. We discuss the finite-size effects in this system and obtain the optimal level of sparseness that preserves features of the original SYK model such that it can still be holographically interpreted as a traversable wormhole