All actions for free massive higher-spin fields

Abstract

Massive higher-spin states/fields appear in the effective description of various systems from hadrons and nuclei to black holes, whenever the point-particle approximation is justified, as well as in the bottom-up approaches to the quantum gravity problem. In four dimensions the actions for massive higher-spin fields utilize either the Singh-Hagen/Zinoviev set of auxiliary fields or a single chiral field, which is an $sl(2,\mathbb{C})$ spin-tensor of type $(2s,0)$, generalizing the Chalmers-Siegel approach. We show that these two actions are on the opposite ends of a discrete family of actions where the physical field is a spin-tensor of type $(s+k,s-k)$. The $(2s-1,1)$- and $(2s-2,2)$-cases generalize the Proca and the Fierz-Pauli actions, respectively, to all spins. A similar family of second-order actions exists for fermionic higher-spin fields.

25 pages, replaced with a revised (published) version

References in corpus (15)

• Resummation of Massive Gravity
• Light-Front Higher-Spin Theories in Flat Space
• On massive spin 2 interactions
• Frame-like gauge invariant formulation for massive high spin particles
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• Chiral Higher Spin Theories and Self-Duality
• On spin 3 interacting with gravity
• Elementary particles with continuous spin
• Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
• Geometric Lagrangians for massive higher-spin fields
• On massive spin 2 electromagnetic interactions
• Geometric massive higher spins and current exchanges
• Duality for massive spin two theories in arbitrary dimensions
• Superspace formulation of massive half-integer superspin
• Dualisation of free fields