Microscopic Entanglement Wedges

TL;DR

This paper explores the holographic duality between the free O(N) vector model and higher spin gravity, providing a detailed mapping of degrees of freedom and demonstrating bulk reconstruction and entanglement wedge reconstruction.

Contribution

It offers a systematic and explicit mapping between CFT currents and gravity gauge fields, advancing understanding of holographic duality and entanglement wedge reconstruction.

Findings

Explicit mapping between CFT currents and gravity fields

Demonstration of bulk reconstruction in higher spin holography

Microscopic derivation of entanglement wedge reconstruction

Abstract

We study the holographic duality between the free $O(N)$ vector model and higher spin gravity. Conserved spinning primary currents of the conformal field theory (CFT) are dual to spinning gauge fields in the gravity. Reducing to independent components of the conserved CFT currents one finds two components at each spin. After gauge fixing the gravity and then reducing to independent components, one finds two components of the gauge field at each spin. Collective field theory provides a systematic way to map between these two sets of degrees of freedom, providing a complete and explicit identification between the dynamical degrees of freedom of the CFT and the dual gravity. The resulting map exhibits many features expected of holographic duality: it provides a valid bulk reconstruction, it reproduces insights expected from the holography of information and it provides a microscopic derivation of entanglement wedge reconstruction.