Quartet unconstrained formulation for massless higher spin fields

Details Quartet unconstrained formulation for massless higher spin fields Quartet unconstrained formulation for massless higher spin fields

2007-02-20

arxiv.org/abs/hep-th/0702161v4

Nucl.Phys.B779:155-177,2007

Physics

High Energy Physics

High Energy Physics - Theory

V4: 27 pages; references and acknowledgement added

Scientific paper

10.1016/j.nuclphysb.2007.03.032

We construct simple unconstrained Lagrangian formulations for massless higher spin fields in flat space of arbitrary dimension and on anti de Sitter background. Starting from the triplet equations of Francia and Sagnotti, which describe a chain of spin modes, we introduce an auxiliary field and find appropriate gauge invariant constraints that single out the spin-s mode. The resulting quartet of fields, thus describing an irreducible representation of the Poincare group, is used to construct simple Lagrangian formulations, which are local, free from higher derivative terms and use equal number of auxiliary fields for an unconstrained description of any value of spin. Our method proves to be most efficient for an unconstrained description of massless higher spin fermions in anti de Sitter space. A relation of the minimal models with the universal BRST approach is discussed.

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