A. A. Chekmenev, “Lagrangian BRST formulation of massive higher-spin fields of the general symmetry type”, TMF, 2021, Volume 209, Number 2,Pages <nobr>327

This article is cited in 3 papers

Lagrangian BRST formulation of massive higher-spin fields of the general symmetry type

A. A. Chekmenev^ab

^a Tamm Department of Theoretical Physics, Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia
^b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, Russia

Abstract: 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.

Received: 01.01.2021
Revised: 11.05.2021

DOI: 10.4213/tmf10052