Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-03-06
Nucl.Phys.B787:211-240,2007
Physics
High Energy Physics
High Energy Physics - Theory
Minor changes. Version accepted for publication in NPB
Scientific paper
10.1016/j.nuclphysb.2007.06.006
We develop a general gauge invariant Lagrangian construction for half-integer higher spin fields in the AdS space of any dimension. Starting with formulation in terms of auxiliary Fock space we derive the closed nonlinear symmetry algebras of higher spin fermionic fields in the AdS space and find the corresponding BRST operator. A universal procedure of constructing the gauge invariant Lagrangians describing the dynamics of fermionic fields of any spin is developed. No off-shell constraints for the fields and gauge parameters are imposed from the very beginning. It is shown that all the constraints determining the irreducible representation of the AdS group arise as a consequence of the equations of motion and gauge transformations. As an example of the general procedure, we derive the gauge invariant Lagrangians for massive fermionic fields of spin 1/2 and 3/2 containing the total set of auxiliary fields and gauge symmetries.
Buchbinder Ioseph L.
Krykhtin V. A.
Reshetnyak Alexander A.
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