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

Campoleoni, Andrea

doi:10.1393/ncr/i2010-10053-2

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

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Campoleoni, Andrea
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Campoleoni, A. (2010). Metric-like Lagrangian Formulations for Higher-Spin Fields of Mixed Symmetry. La Rivista del Nuovo Cimento, 33(03/04), 123-253. doi:10.1393/ncr/i2010-10053-2.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-6128-F

Abstract

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.