Higher Spin Holography, RG, and the Light Cone

Abstract

We revisit the derivation of higher spin bulk theory using the renormalization group in the dual field theory. We argue that existing proposals have problems already at the level of linearized perturbations on AdS. This is due to the form of the cutoff, which must act on bilinears in the fundamental fields rather than on the fields themselves. For the light-cone collective field theory, we show that the RG produces the correct linearized perturbations. We relate this to the precursor formula of de Mello Koch, Jevicki, Jin and Rodrigues, and we also elaborate on that result. The covariant RG and bulk interactions remain problems for the future.

arXiv comment34 pages

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Cited by in corpus (12)

• Light-Front Holographic QCD and Emerging Confinement
• Surface/State Correspondence as a Generalized Holography
• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• Bulk-Boundary Duality, Gauge Invariance, and Quantum Error Correction
• Coarse Grained Quantum Dynamics
• TASI Lectures on the Higher Spin - CFT duality
• Holography as a highly efficient RG flow I: Rephrasing gravity
• Thermofield Duality for Higher Spin Rindler Gravity
• Emergent geometry in recursive renormalization group transformations
• Geometric encoding of renormalization group $\beta -$functions in an emergent holographic dual description
• Cutoff Function in Holographic RG Flow
• Local renormalization group functions from quantum renormalization group and holographic bulk locality