Higher Symmetries of the Laplacian

Abstract

Using the AdS/CFT correspondence, we identify the symmetry algebra of the Laplacian on Euclidean space as an explicit quotient of the universal enveloping algebra of the Lie algebra of conformal motions. We construct analogues of these symmetries on a general conformal manifold.

20 pages

References in corpus (2)

• Massless Higher Spins and Holography
• Notes On Higher Spin Symmetries

Cited by in corpus (19)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Higher Spin Gauge Theories in Various Dimensions
• From Free Fields to $AdS$
• From Free Fields to $AdS$ -- III
• A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
• On Higher Spins with a Strong Sp(2,R) Condition
• Brane Partons and Singleton Strings
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• Higher Spin Gauge Theories in Any Dimension
• Multiparticle extension of the higher-spin algebra
• On the Algebraic Structure of Higher-Spin Field Equations and New Exact Solutions
• Gauge invariants and Killing tensors in higher-spin gauge theories
• Unfolded form of conformal equations in M dimensions and o(M+2)-modules
• Singletons and their maximal symmetry algebras
• On (Un)Broken Higher-Spin Symmetry in Vector Models
• On manifestly sp(2) invariant formulation of quadratic higher spin Lagrangians
• Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges
• Conserved Higher-Spin Charges in $Ad{S}_4$