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 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 ×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 3n 2 (κ 2 4 + κ 2 4 )/16π 2 , where M is the mass splitting of the gravitons, κ 2 4 , κ 2 4 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 quantized. We argue that the apparent non-localities of holographic double-trace theories are resolved by integrating-in the (scarce) degrees of freedom of the gate.

Massive AdS supergravitons and holography

“…The half-maximal cases in D = 6, 7 dimensions are also excluded. 5 This ties in nicely with the fact that holographic mechanisms for Higgsing the supergraviton are not available for these (D, N ) pairs, as will 4 The case of AdS3 is nevertheless very interesting, for massive D = 3 supergravities see e.g. refs.…”

“…A direct embedding of massive Anti-de Sitter (AdS) gravity in string theory was recently proposed in refs. [5,6]. Besides living in AdS 4 , this embedding has N = 4 supersymmetries and is clearly not realistic.…”

“…In AdS 4 the breakdown scale is at most Λ * ∼ (m g m Pl /l AdS ) 1/3 , where l AdS is the AdS radius and m Pl is the fourdimensional Planck scale [8]. In this letter I will identify the origin of the breakdown in the string-theory embedding of [5,6].…”

“…[12,13,14], following up on the original proposal by Porrati [15] in the single-metric limit. The gauging mechanism in [5,6] shares many features of [the AdS version of] Randall-Sundrum models [16,17]. As the first microscopic implementation of these ideas on the gravity side, it will allow us to study the breakdown of the putative effective theory.…”

“…The putative effective supergravities are expected to break down in the m g → 0 limit at an intermediate scale between m g and m Planck . In a recently-proposed microscopic embedding of mechanism (ii) in string theory [5,6], I show that m g = 0 is at infinite distance in moduli space, and I relate the breakdown of the effective theory to the condensation of unprotected spin-2 excitations in the string-theoretic description of the 'holographic bridge'. The phenomenon is invisible in the weakly-coupled CFT side.…”