Gauge-invariant Lagrangians for mixed-antisymmetric higher spin fields

Lagrangian descriptions of integer HS representations of the Poincare group subject to a Young tableaux Y[ s^ 1, s^ 2] with two columns are constructed within a metric-like formulation in a d-dimensional flat space-time on a basis of the BRST approach. A Lorentz-invariant resolution of the BRST complex within BRST formulations produces a gauge-invariant Lagrangian in terms of the initial tensor field Φ[μ]s^1,[μ]s^2 subject to Y[ s^ 1, s^ 2] with an additional tower of gauge parameters realizing the (s^ 1− 1) -th stage reducible theory with a specific dependence on the value (s^ 1− s^ 2) = 0 , 1 , … s^ 1. Minimal BRST–BV action is suggested, providing objects appropriate to construct interacting models with mixed-antisymmetric fields in a general framework. © 2017, Pleiades Publishing, Ltd.