Geometric Lagrangians for massive higher-spin fields

Abstract

Lagrangians for massive, unconstrained, higher-spin bosons and fermions are proposed. The idea is to modify the geometric, gauge invariant Lagrangians describing the corresponding massless theories by the addition of suitable quadratic polynomials. These polynomials provide generalisations of the Fierz-Pauli mass term containing all possible traces of the basic field. No auxiliary fields are needed.

50 pages, 3 appendices; typos corrected, comments and references added. To appear in Nucl. Phys. B

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Cited by in corpus (44)

• Spinning AdS Propagators
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• String Lessons for Higher-Spin Interactions
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• Higher-Spin Interactions: four-point functions and beyond
• Compton Black-Hole Scattering for $s\le 5/2$
• Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• Bosonic conformal higher--spin fields of any symmetry
• Spinning Witten Diagrams
• On the cubic interactions of massive and partially-massless higher spins in (A)dS
• Maxwell-like Lagrangians for higher spins
• Cubic interactions of Maxwell-like higher spins
• String Theory and The Velo-Zwanziger Problem
• (A)dS exchanges and partially-massless higher spins
• Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields
• String theory triplets and higher-spin curvatures
• Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• A note on higher-derivative actions for free higher-spin fields
• Intrinsic Cutoff and Acausality for Massive Spin 2 Fields Coupled to Electromagnetism
• On the relation between local and geometric Lagrangians for higher spins
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
• On the gauge symmetries of Maxwell-like higher-spin Lagrangians
• Generalised connections and higher-spin equations
• Manifest Duality for Partially Massless Higher Spins
• Current Exchanges for Reducible Higher Spin Multiplets and Gauge Fixing
• Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models
• Low-spin models for higher-spin Lagrangians
• Geometric massive higher spins and current exchanges
• On Dimensional Degression in AdS(d)
• A local action for fermionic unconstrained higher spin gauge fields in (A)dS space
• Dual descriptions of massive spin-3 particles in $D=2+1$ via Noether gauge embedment
• Frame- and Metric-like Higher-Spin Fermions
• Higher Spins and Current Exchanges
• Gauging the higher-spin-like symmetries by the Moyal product
• Minimal gauge invariant and gauge fixed actions for massive higher-spin fields
• Topics in Asymptotic Symmetries and Infrared Effects
• HS Yang-Mills-like models: a review
• All actions for free massive higher-spin fields
• On infrared problems of effective Lagrangians of massive spin 2 fields coupled to gauge fields
• On general Lagrangian formulations for arbitrary mixed-symmetric higher-spin fermionic fields on Minkowski backgrounds
• Massive higher spin fields in curved spacetime and necessity of non-minimal couplings