Title: “Holography of traversable wormholes: non-maximal chaos and teleportation”
Abstract:
I will discuss the time-ordered and time-disordered correlation functions in the background of the Gao-Jafferis-Wall (GJW) traversable wormhole. The time-disordered correlators exhibit a spectrum of Lyapunov exponents with some or all exponents below the maximal chaos bound. This is rooted in the absence of the black hole horizon and the non-local coupling necessary to produce the wormhole in the first place. The question is now: what is the field theory dual of the GJW wormhole? In principle, we may interpret the wormhole as an EPR pair of entangled systems allowing teleportation, or as a single system in contact with a heat bath. In the former case the Lyapunov exponents are related to the fidelity of the teleportation and in the latter to the quantum chaos in the system. To understand this dichotomy I consider the scalar field on the wormhole background and find a large freedom in defining the boundary action on the two-sided boundary, corresponding to the symmetry of thermofield dynamics (TFD) Hamiltonians. The details of the field theory dual thus depend on the choice of the boundary terms in the action.