Lectures on Higher Spin Holography

Abstract

These notes were prepared for the introductory lectures on Higher Spin Holography presented at the Twelfth Modave Summer School in Mathematical Physics 2016, aimed at Ph.D. students and researchers new to this topic. Contents: 1. Higher spin particles in AdS 2. The AdS/CFT correspondence and higher spins 3. The ambient space formalism 4. Witten diagrams for higher spin fields / higher spin interactions from CFT

Contribution to the proceedings of the XII Modave Summer School in Mathematical Physics. v2: minor edits, typos corrected

References in corpus (55)

• AdS/CFT Correspondence and Symmetry Breaking
• AdS Dual of the Critical O(N) Vector Model
• Massless Higher Spins and Holography
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• Higher Spin Gauge Theories: Star-Product and AdS Space
• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• Cubic interaction vertices for massive and massless higher spin fields
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Introduction to the Classical Theory of Higher Spins
• The Higher Spin/Vector Model Duality
• Higher Spins & Strings
• Six-dimensional Methods for Four-dimensional Conformal Field Theories
• Towards Feynman rules for Mellin amplitudes in AdS/CFT
• On stringy AdS_5 x S^5 and higher spin holography
• One Loop Tests of Higher Spin AdS/CFT
• On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory
• Notes On Higher Spin Symmetries
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Higher Spin Symmetry and N=4 SYM
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• Four-point Functions of Lowest Weight CPOs in N=4 SYM_4 in Supergravity Approximation
• Higher-Spin Interactions: four-point functions and beyond
• Scattering in Anti-de Sitter Space and Operator Product Expansion
• Description of the higher massless irreducible integer spins in the BRST approach
• Evaluating the AdS dual of the critical O(N) vector model
• On higher spin interactions with matter
• Generating functions of (partially-)massless higher-spin cubic interactions
• String Theory as a Higher Spin Theory
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• Dimensional reduction and BRST approach to the description of a Regge trajectory
• The lagrangian description of representations of the Poincare group
• New Results on Holographic Three-Point Functions
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Introduction to Gauge/Gravity Duality
• (A)dS exchanges and partially-massless higher spins
• Exceptional F(4) Higher-Spin Theory in AdS(6) at One-Loop and other Tests of Duality
• Theory of higher spin tensor currents and central charges
• Boundary Terms and Three-Point Functions: An AdS/CFT Puzzle Resolved
• The large $N_c$ limit of four-point functions in N=4 super-Yang-Mills theory from anti-de Sitter Supergravity
• A minimal BV action for Vasiliev's four-dimensional higher spin gravity
• From Higher Spins to Strings: A Primer
• On the Non-Local Obstruction to Interacting Higher Spins in Flat Space
• Comments on higher-spin holography
• On the relation between local and geometric Lagrangians for higher spins
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• On the Algebraic Structure of Higher-Spin Field Equations and New Exact Solutions
• One-loop Test of Free SU(N) Adjoint Model Holography
• On the AdS Higher Spin / O(N) Vector Model Correspondence: degeneracy of the holographic image
• Bulk quartic vertices from boundary four-point correlators
• Pseudo-local Theories: A Functional Class Proposal
• On the Holography of Free Yang-Mills
• Holographic three-point functions: one step beyond the tradition
• AdS/CFT for Four-Point Amplitudes involving Gravitino Exchange

Cited by in corpus (9)

• From dS to AdS and back
• On the Inflationary Perturbations of Massive Higher-Spin Fields
• On the Non-Local Obstruction to Interacting Higher Spins in Flat Space
• Can Chern-Simons or Rarita-Schwinger be a Volkov-Akulov Goldstone?
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• Higher spin de Sitter quasinormal modes
• On special quartic interaction of higher spin gauge fields with scalars and gauge symmetry commutator in the linear approximation
• Cubic Interaction for Higher Spins in $Ad{S}_{d+1}$ space in the explicit covariant form
• A spool for every quotient: One-loop partition functions in AdS${}_3$ gravity