Higher-spin gauge theories in three spacetime dimensions

Abstract

These lecture notes provide an introduction to higher-spin gauge theories in three spacetime dimensions, with a focus on their asymptotic symmetries, their holographic description in terms of conformal field theories with W-symmetries as well as on their couplings to scalar matter.

132 pages. Contribution to a collection of lecture notes on higher-spin theories published in Lect. Notes Phys. V2: references added

References in corpus (24)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Higher Spins & Strings
• Light-Front Higher-Spin Theories in Flat Space
• Correlation functions in conformal Toda field theory I
• Generalized Black Holes in Three-dimensional Spacetime
• Frame-like gauge invariant formulation for massive high spin particles
• TASI lectures on AdS/CFT
• A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
• A Note on (Non)-Locality in Holographic Higher Spin Theories
• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• Off-shell massive N=1 supermultiplets in three dimensions
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• 3d gravity in Bondi-Weyl gauge: charges, corners, and integrability
• Lifshitz Holography with Isotropic Scale Invariance
• Quantization of conical spaces in 3D gravity
• Extended supersymmetry in AdS_3 higher spin theories
• A New Class of Particle in 2+1 Dimensions
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Conical spaces, modular invariance and $c_{p,1}$ holography
• Snowmass White Paper: Higher Spin Gravity and Higher Spin Symmetry
• On higher spin analogues of linearized Topologically Massive Gravity and linearized "New Massive Gravity"
• On scalar propagators of three-dimensional higher-spin black holes
• W-algebras and integrability

Cited by in corpus (4)

• Free-field construction of Carrollian $W_N$-algebras
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect