Holography as a Gauge Phenomenon in Higher Spin Duality

TL;DR

This paper explores the gauge structure of higher spin gravity in AdS space using a world line approach, revealing a gauge-independent formulation where the theory simplifies to an unconstrained scalar field, clarifying its relation to CFT3.

Contribution

It introduces a gauge reduction method for higher spin gravity, showing its equivalence to a bi-local collective representation of CFT3 in a gauge-independent framework.

Findings

Gauge reduction simplifies higher spin theory to an unconstrained scalar in 6d.

Establishes equivalence between higher spin gravity and CFT3 bi-local representation.

Provides a deeper understanding of gauge phenomena in higher spin duality.

Abstract

Employing the world line spinning particle picture we discuss the appearance of several different `gauges' which we use to gain a deeper explanation of the Collective/Gravity identification. We discuss transformations and algebraic equivalences between them. For a bulk identification we develop a `gauge independent' representation where all gauge constraints are eliminated. This `gauge reduction' of Higher Spin Gravity demonstrates that the physical content of 4D AdS HS theory is represented by the dynamics of an unconstrained scalar field in 6d. It is in this gauge reduced form that HS Theory can be seen to be equivalent to a 3+3 dimensional bi-local collective representation of CFT3.