Lagrangian BRST formulation of massive higher spin fields of generic symmetry type

Abstract

We describe the procedure of dimensional reduction of massless fields in $(D+1)$ dimensional Minkowski space to massive ones in $D$ dimensions in the first-quantized setting. The procedure is compatible with Lagrangian and in a straightforward way determines the inner product for massive fields. Howe duality and the extensive usage of BRST formalism allows to keep the description concise. We consider both bosonic and fermionic mixed-symmetry fields.

v2: references added. arXiv admin note: text overlap with arXiv:1808.09385

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Cited by in corpus (1)

• Unconstrained Massless Higher Spin Supermultiplet in AdS${}_4$