CMSA Quantum Matter/Quantum Field Theory Seminar: Traversable wormholes in four and two dimensions

In four dimensions I present a solution based on two magnetically charged black holes. It is a solution of classical Einstein gravity which requires U(1) gauge field and massless fermions only and it does not need exotic matter or boundary conditions. It is a long wormhole that does not lead to causality violations in the ambient space. Very similar wormholes in two dimensional Jackiw--Teitelboim(JT) gravity can be constructed in Sachdev--Ye--Kitaev(SYK) model, where one can study the real-time formation of the wormhole numerically. I will explain similarities and differences between these four- and two-dimensional solutions and argue that in SYK the formation of the wormhole is smooth and takes time independent of N in the large N limit.