Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
arXiv:0902.1471 · doi:10.1016/j.nuclphysb.2009.04.014
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
References in corpus (15)
- Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
- An Introduction to Free Higher-Spin Fields
- BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
- Quartet unconstrained formulation for massless higher spin fields
- Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
- Geometric Lagrangians for massive higher-spin fields
- On Massive Mixed Symmetry Tensor Fields in Minkowski Space and (A)dS
- Interacting Higher Spins and the High Energy Limit of the Bosonic String
- First Order Formalism for Mixed Symmetry Tensor Fields
- First Order Formalism for Massive Mixed Symmetry Tensor Fields in Minkowski and (A)dS Spaces
- Detours and Paths: BRST Complexes and Worldline Formalism
- Massless Higher Spin Fields in the AdS Background and BRST Constructions for Nonlinear Algebras
- U(N) spinning particles and higher spin equations on complex manifolds
- Geometric massive higher spins and current exchanges
- Progress in Gauge Invariant Lagrangian Construction for Massive Higher Spin Fields