Partially Massless Monopoles and Charges

Abstract

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 electric-like charges and two invariant magnetic-like charges and we find the point-like 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.

28 pages, 3 figures. v2 refs, typo fixed, more on flat limit

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Cited by in corpus (18)

• Shapes of gravity: Tensor non-Gaussianity and massive spin-2 fields
• No-go for Partially Massless Spin-2 Yang-Mills
• Partially Massless Graviton on Beyond Einstein Spacetimes
• On the (A)dS Decoupling Limits of Massive Gravity
• Looking for partially-massless gravity
• Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• Dual actions for massless, partially-massless and massive gravitons in (A)dS
• Gauge and global symmetries of the candidate partially massless bimetric gravity
• A theory for multiple partially massless spin-2 fields
• Kaluza-Klein Reduction of Massive and Partially Massless Spin-2 Fields
• Non-linear duality invariant partially massless models?
• Structures in multiple spin-2 interactions
• Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime
• $\mathcal{N}=2$ Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• Scale and Conformal Invariance on (A)dS
• Cubic interactions for massless and partially massless spin-1 and spin-2 fields
• Impossible Symmetries and Conformal Gravity
• Partially massless theory as a quantum gravity candidate