84 citations · 140 across the 4 of their papers we have counts for
4 papers
The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra
Karl Hallowell, Andrew Waldron
Lichnerowicz's algebra of differential geometric operators acting on symmetric tensors can be obtained from generalized geodesic motion of an observer carrying a complex tangent ve…
Supersymmetric Quantum Mechanics and Super-Lichnerowicz Algebras
K. Hallowell, A. Waldron
We present supersymmetric, curved space, quantum mechanical models based on deformations of a parabolic subalgebra of osp(2p+2|Q). The dynamics are governed by a spinning particle…
Higher Spin Gravitational Couplings and the Yang--Mills Detour Complex
A. R. Gover, K. Hallowell, A. Waldron
Gravitational interactions of higher spin fields are generically plagued by inconsistencies. We present a simple framework that couples higher spins to a broad class of gravitation…
Constant Curvature Algebras and Higher Spin Action Generating Functions
Karl Hallowell, Andrew Waldron
The algebra of differential geometry operations on symmetric tensors over constant curvature manifolds forms a novel deformation of the sl(2,R) [semidirect product] R^2 Lie algebra…