Knitting Wormholes by Entanglement in Supergravity

TL;DR

This paper constructs a novel single-boundary wormhole geometry in supergravity, demonstrating how entanglement in a dual gauge theory corresponds to a traversable wormhole, with potential implications for quantum gravity and holography.

Contribution

It introduces a new supergravity solution representing a single-boundary wormhole with entanglement interpretation in gauge theory, including mechanisms for stability and traversability.

Findings

Constructed a supergravity wormhole geometry with a dual entangled gauge theory.

Showed the wormhole can be made long-lived with parameter tuning.

Discussed potential mechanisms for wormhole traversability.

Abstract

We construct a single-boundary wormhole geometry in type IIB supergravity by perturbing two stacks of $N$ extremal D3-branes in the decoupling limit. The solution interpolates from a two-sided planar AdS-Schwarzschild geometry in the interior, through a harmonic two-center solution in the intermediate region, to an asymptotic AdS space. The construction involves a CPT twist in the gluing of the wormhole to the exterior throats that gives a global monodromy to some coordinates, while preserving orientability. The geometry has a dual interpretation in $\mathcal{N}=4$ $SU(2N)$ Super Yang-Mills theory in terms of a Higgsed $SU(2N) \to S(U(N) \times U(N))$ theory in which $\mathcal{O} (N^2)$ degrees of freedom in each $SU(N)$ sector are entangled in an approximate thermofield double state at a temperature much colder than the Higgs scale. We argue that the solution can be made long-lived by appropriate choice of parameters, and comment on mechanisms for generating traversability. We also describe a construction of a double wormhole between two universes.