Wormholes in holography
This thesis focuses on wormholes in holography. Wormholes are tunnel geometries that connect different regions of a spacetime, or different spacetimes altogether. The interest in these geometries, which dates back to the ‘50s, has exploded in recent years in the context of holography. Holography is a conjectured duality between gravitational theories in (d+1)-dimensional asymptotically anti-de Sitter (AdS) spacetimes, and conformal field theories (CFT) in d dimensions. Special types of correlations in the CFT give rise to wormholes in the AdS spacetime. The best studied example of this connection is the eternal black hole in AdS, which is dual to a specific entangled state of the CFT, called thermofield double state. The non-traversable wormhole hidden behind the horizon of the black hole is a geometric realization of the entanglement present in this state. Recently, Gao, Jafferis, and Wall have devised a simple protocol to make this wormhole traversable. In chapters 2 and 3 of this thesis, we focus on this protocol. We study how much information can be transferred through the wormhole, and make an attempt at using this same protocol to source a static traversable wormhole. In the last chapter, we consider a different type of correlations, generated by averages over states, and show that these can also give rise to wormholes in the dual geometry.