Quantum Gates to other Universes

Abstract

We present a microscopic model of a bridge connecting two large Anti-de-Sitter Universes. The Universes admit a holographic description as three-dimensional $\mathcal{N}=4$ supersymmetric gauge theories based on large linear quivers, and the bridge is a small rank-$n$ gauge group that acts as a messenger. On the gravity side, the bridge is a piece of a highly-curved AdS${}_5\times$S${}_5$ throat carrying $n$ units of five-form flux. We derive a universal expression for the mixing of the two massless gravitons: $M^2\simeq 3n^2({\kappa }_4^2+{\kappa }_4^{\prime 2})/16{\pi }^2$, where $M$ is the mass splitting of the gravitons, ${\kappa }_4^2,{\kappa }_4^{\prime 2}$ are the effective gravitational couplings of the AdS${}_4$ Universes, and $n$ is the quantized charge of the gate. This agrees with earlier results based on double-trace deformations, with the important difference that the effective coupling is here quantized. We argue that the apparent non-localities of holographic double-trace models are resolved by integrating-in the (scarce) degrees of freedom of the gate.

17 pages, 8 figures. Note added about an implicit assumption in the case of non-identical Universes

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• Spin-2 spectrum of defect theories
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