BRST Lagrangian construction for spin-2 field in Einstein space

Understand

We explore a new possibility of BRST construction in higher spin field theory to obtain a consistent Lagrangian for massive spin-2 field in Einstein space.

• Such approach automatically leads to gauge invariant Lagrangian with suitable auxiliary and Stuckelberg fields.
• It is proved that in this case a propagation of spin-2 field is hyperbolic and causal.
• Also we extend notion of partial masslessness for spin-2 field in the background under consideration.