Geodesic
Lagrangian BRST formulation of massive higher-spin fields of
Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 2, pp. 327-350

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We describe the procedure of dimensional reduction of massless fields in $(d+1)$-dimensional Minkowski space to massive fields in $d$ dimensions in the first-quantized setting. The procedure is compatible with the Lagrangian and in a straightforward way determines the inner product for massive fields. The use of the Howe duality and the BRST technique allows keeping the description concise. We consider both bosonic and fermionic mixed-symmetry fields.
Keywords: BRST, dimensional reduction, Lagrangian, gauge invariance, higher-spin theory. 
@article{TMF_2021_209_2_a6,
     author = {A. A. Chekmenev},
     title = {Lagrangian {BRST} formulation of massive higher-spin fields of},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {327--350},
     publisher = {mathdoc},
     volume = {209},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_209_2_a6/}
}
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A. A. Chekmenev. Lagrangian BRST formulation of massive higher-spin fields of. Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 2, pp. 327-350. http://geodesic.mathdoc.fr/item/TMF_2021_209_2_a6/