Abstract
We construct an eternal traversable wormhole connecting two asymptotically AdS4 regions. The wormhole is dual to the ground state of a system of two identical holographic CFT’s coupled via a single low-dimension operator. The coupling between the two CFT’s leads to negative null energy in the bulk, which supports a static traversable wormhole. As the ground state of a simple Hamiltonian, it may be possible to make these wormholes in the lab or on a quantum computer.
Highlights
Popov (MMP) [32] found a long-lived 4D asymptotically flat traversable wormhole solution in the Standard Model
Given access to a holographic CFT, one needs to implement the coupling and allow the system to cool to its ground state, which is dual to a traversable wormhole
We show that the ground state of this theory is dual to our eternal traversable wormhole geometry for some range of the coupling h and chemical potential μ
Summary
We start this section by describing the particular theory of interest, as well as setting up the notation and conventions of spinors in curved space. A general class of spherically symmetric solutions with magnetic charge, denoted by the integer q, can be parametrized as follows ds2 = e2σ(x,t)(−dt2 + dx2) + R2(x) dΩ22 , q A = cos θdφ. Note that in this metric the range of x is compact and fixing this range can be seen as a gauge choice. In the rest of the paper we will suppress the indices on ψ In this ansatz the Dirac equation is given by e−.
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