Weyl Invariance and the Origins of Mass

Abstract

By a uniform and simple Weyl invariant coupling of scale and matter fields, we construct theories that unify massless, massive, and partially massless excitations. Masses are related to tractor Weyl weights, and Breitenlohner-Freedman stability bounds in anti de Sitter amount to reality of these weights. The method relies on tractor calculus -- mathematical machinery allowing Weyl invariance to be kept manifest at all stages. The equivalence between tractor and higher spin systems with arbitrary spins and masses is also considered.

14 pages, LaTeX

References in corpus (6)

• Nonlinear higher spin theories in various dimensions
• Constant Curvature Algebras and Higher Spin Action Generating Functions
• Tractors, Mass and Weyl Invariance
• Supersymmetric Quantum Mechanics and Super-Lichnerowicz Algebras
• The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra
• Higher Spin Gravitational Couplings and the Yang--Mills Detour Complex

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