Higher Spin vs. Renormalization Group Equations

Abstract

We present a variation of earlier attempts to relate renormalization group equations to higher spin equations. We work with a scalar field theory in 3 dimensions. In this case we show that the classical renormalization group equation is a variant of the Vasiliev higher spin equations with Kleinians on AdS${}_4$ for a certain subset of couplings. In the large N limit this equivalence extends to the quantum theory away from the conformal fixed points.

substantial revision, now includes manifestly higher spin symmetric treatment of non-linear RG-flows

References in corpus (5)

• The Higher Spin/Vector Model Duality
• Effective action in a higher-spin background
• Holographic dual of free field theory
• An exact statement for Wilsonian and Holographic renormalization group
• Toward a Higher-Spin Dual of Interacting Field Theories

Cited by in corpus (10)

• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• Higher-Spin Theory and Space-Time Metamorphoses
• The Holographic Geometry of the Renormalization Group and Higher Spin Symmetries
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Horizon as Critical Phenomenon
• Higher Spin Holography, RG, and the Light Cone
• Holography as a highly efficient RG flow I: Rephrasing gravity
• Holography as a highly efficient RG flow II: An explicit construction
• A model of quantum gravity with emergent spacetime
• Massless graviton in a model of quantum gravity with emergent spacetime