Low-spin models for higher-spin Lagrangians

Abstract

Higher-spin theories are most commonly modelled on the example of spin 2. While this is appropriate for the description of free irreducible spin-s particles, alternative options could be equally interesting. In particular Maxwell's equations provide the effective model for maximally reducible theories of higher spins inspired by the tensionless limit of the open string. For both options, as well as for their fermionic counterparts, one can extend the analogy beyond the equations for the gauge potentials, formulating the corresponding Lagrangians in terms of higher-spin curvatures. The associated non-localities are effectively due to the elimination of auxiliary fields and do not modify the spectrum. Massive deformations of these theories are also possible, and in particular in this contribution we propose a generalisation of the Proca Lagrangian for the Maxwell-inspired geometric theories.

12 pages, PTPTeX. Contribution to the proceedings of the 3rd International Conference on String Field Theory and Related Aspects (SFT 2010), Kyoto, Japan, 18-22 Oct 2010

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Cited by in corpus (17)

• Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• Elements of Vasiliev theory
• Maxwell-like Lagrangians for higher spins
• Spinning AdS Loop Diagrams: Two Point Functions
• Cubic interactions of Maxwell-like higher spins
• On the Lagrangian formulation of the double copy to cubic order
• Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices
• Generalised connections and higher-spin equations
• One-loop effective actions and higher spins
• Feynman rules for higher-spin gauge fields on AdS${}_{d+1}$
• Mixed-symmetry multiplets and higher-spin curvatures
• One-loop effective actions and higher spins. II
• Higher Spins in D=2+1
• Massive fermion model in 3d and higher spin currents
• Asymptotic symmetries and charges at null infinity: from low to high spins
• Higher spin Lagrangians from higher derivative diffeomorphisms