2015/07/31 by Kurt Hinterbichler, Rachel A. Rosen
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Classical mechanics #Cosmology and Gravitation Theories #Duality (order theory) #Electric charge #Gauge theory #Gauss's law #Geometry #Homogeneous space #Invariant (physics) #Magnetic monopole #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.92.105019
published as Phys. Rev. D 92, 105019 (2015) · 28 pages, 3 figures. v2 refs, typo fixed, more on flat limit
openalex publication_date 2015/11/09 · arxiv created 2017/06/04 · arxiv updated 2017/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Massive higher spin fields on de Sitter space exhibit enhanced gauge symmetries at special values of the mass. These fields are known as ``partially massless.'' We study the structure of the charges and Gauss laws which characterize sources for the partially massless spin-2. Despite having a simple scalar gauge symmetry, there is a rich structure of gauge charges. The charges come in electric and magnetic varieties, each taking values in the fundamental representation of the de Sitter group. We find two invariant electriclike charges and two invariant magneticlike charges and we find the pointlike monopole solutions which carry these charges, analogous to the electric point-charge solution and Dirac monopole solution of Maxwell electrodynamics. These solutions are related by partially massless duality, analogous to the electromagnetic duality that relates electric to magnetic charges.