The holographic dual of an EPR pair has a wormhole

TL;DR

This paper constructs a holographic dual for an EPR pair in supersymmetric Yang-Mills theory, showing that entanglement corresponds to a non-traversable wormhole in the dual geometry, supporting the ER=EPR conjecture.

Contribution

It provides a concrete example linking entangled quasiparticles to wormhole geometries, illustrating the ER=EPR idea in a supersymmetric gauge theory context.

Findings

Entanglement in the gauge theory corresponds to a wormhole in the dual geometry.

Supports the ER=EPR conjecture by explicitly constructing the dual geometry.

Demonstrates a geometric realization of quantum entanglement in holography.

Abstract

We construct the holographic dual of two colored quasiparticles in maximally supersymmetric Yang-Mills theory entangled in a color singlet EPR pair. In the holographic dual the entanglement is encoded in a geometry of a non-traversable wormhole on the worldsheet of the flux tube connecting the pair. This gives a simple example supporting the recent claim by Maldacena and Susskind that EPR pairs and non-traversable wormholes are equivalent descriptions of the same physics.