Bulk Reconstruction in Bilocal Holography

TL;DR

This paper presents a local bulk reconstruction method in bilocal holography, clarifying subregion duality and aligning with standard bulk reconstruction in higher-spin gravity duals.

Contribution

It derives a local bulk reconstruction formula within bilocal holography and demonstrates its consistency with established methods.

Findings

Derived a local bulk reconstruction formula.

Showed agreement with standard bulk reconstruction.

Clarified subregion duality in the framework.

Abstract

Bilocal holography provides a constructive approach to the higher-spin gravity theories dual to vector-model conformal field theories. Its central advantage is that it is completely gauge fixed and formulated entirely in terms of physical degrees of freedom. We derive a remarkably local bulk reconstruction formula and demonstrate its agreement with standard bulk reconstruction, after the same boundary data and gauge-fixed variables have been identified. We further clarify how subregion duality is realized in this framework.