Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space

Abstract

We apply the BRST approach, developed for higher spin field theories, to Lagrangian construction for totally antisymmetric massive fermionic fields in AdS_d space. As well as generic higher spin massive theories, the obtained Lagrangian theory is a reducible gauge model containing, besides the basic field, a number of auxiliary (Stuckelberg) fields and the order of reducibility grows with the value of the rank of the antisymmetric field. However, unlike the generic higher spin theory, for the special case under consideration we show that one can get rid of all the auxiliary fields and the final Lagrangian for fermionic antisymmetric field is formulated only in terms of basic field.

22 pages; v2: 1 footnote and 2 references added

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• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space
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• Fermionic Shift Symmetries in (Anti) de Sitter Space
• Generalized Elko Theory
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• On gauge-invariant deformation of reducible gauge theories
• Massive mixed symmetry field dynamics in open bosonic string theory