Quantum dynamics of $N=1$, $D=4$ supergravity compensator
  A new $N=1$ superfield theory in $D=4$ flat superspace is suggested. It describes dynamics of supergravity compensator and can be considered as a low-energy limit for $N=1$, $D=4$ superfield supergravity. The theory is shown to be renormalizable in infrared limit and infrared free. A quantum effective action is investigated in infrared domain. 
I.L.Buchbinder and A.Yu.Petrov (Department of Theoretical Physics,   Tomsk State Pedagogical Institute, Tomsk, Russia)