TASI Lectures on the Higher Spin - CFT duality

2016/07/11 by Simone Giombi, Giombi, Simone · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1607.02967

openalex publication_date 2016/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In these lectures we give an overview of the duality between gravitational theories of massless higher spin fields in AdS and large N vector models. We first review the original higher spin/vector model duality conjectured by Klebanov and Polyakov, and then discuss its generalizations involving vector models coupled to Chern-Simons gauge fields. We proceed to review some aspects of the theory of massless higher spins, starting with the Fronsdal equations for free fields and moving on to the fully non-linear Vasiliev equations in four dimensions. We end by reviewing some recent tests of the higher spin/vector model duality at the level of correlation functions and one-loop partition functions.

Citations

• 4D Higher Spin Gravity with Dynamical Two-Form as a Frobenius--Chern--Simons Gauge Theory
• On the Algebraic Structure of Higher-Spin Field Equations and New Exact Solutions
• Notes On Higher Spin Symmetries
• 2 + 1 dimensional gravity as an exactly soluble system
• Comments on higher‐spin holography
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• Nonlinear higher spin theories in various dimensions
• ON THE UNIQUENESS OF HIGHER-SPIN SYMMETRIES IN ADS AND CFT
• Elements of Vasiliev theory
• Invariant Functionals in Higher-Spin Theory

Cited by

• Monodromy Pinning Defects in the Critical O(2N) Model
• Large N Chern-Simons-matter fixed points with multiple flavors
• Constraints on Long-Range Forces in De Sitter Space
• Analytic Studies of Fermions in the Conformal Bootstrap

Related

• Higher Spin Gravity and Exact Holography
• Elements of Vasiliev theory
• Higher Spin Theory - Part I
• On classification of (self-dual) higher-spin gravities in flat space
• Toward Higher Spin dS3/CFT2