Holography as a Gauge Phenomenon 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.

22 pages, v2: references updated; v3: minor corrections

References in corpus (2)

• Parent form for higher spin fields on anti-de Sitter space
• Higher-Spin Theory and Space-Time Metamorphoses

Cited by in corpus (5)

• Three Dimensional View of the SYK/AdS Duality
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Gauge Invariants, Correlators and Holography in Bosonic and Fermionic Tensor Models
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Higher Spin Fronsdal Equations from the Exact Renormalization Group