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.

arXiv comment22 pages, v2: references updated; v3: minor corrections

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Cited by in corpus (18)

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• Bi-Local Holography in the SYK Model
• Three Dimensional View of the SYK/AdS Duality
• Space-Time in the SYK Model
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Three Dimensional View of Arbitrary $q$ SYK models
• Gauge Invariants, Correlators and Holography in Bosonic and Fermionic Tensor Models
• AdS Maps and Diagrams of Bi-local Holography
• A Derivation of AdS/CFT for Vector Models
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Bulk from Bi-locals in Thermo Field CFT
• Holography of Information in AdS/CFT
• Chaos in Three-dimensional Higher Spin Gravity
• Higher Spin Fronsdal Equations from the Exact Renormalization Group
• Thermofield Duality for Higher Spin Rindler Gravity
• ABJ Theory in the Higher Spin Limit
• Quantum Error Correction and Holographic Information from Bilocal Holography
• AdS from CFT for scalar QED