Metric-like Lagrangian Formulations for Higher-Spin Fields of Mixed Symmetry

Understand

We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space.

• These are first presented in a constrained setting extending the metric formulation of linearized gravity, and then the ($\gamma$-)trace constraints on fields and gauge parameters are eliminated via the introduction of auxiliary fields.
• We also display the emergence of Weyl-like symmetries in particular classes of models in low space-time dimensions.