The First Quantization of Spin $\frac{3}{2}$ Field in de Sitter Space.

The de Sitter solution to the positive cosmological Einstein field equation has been viewed as a one-sheeted hyperboloid embedded in a five dimensional Minkowski space. To find Lagrangian equation of supersymmetry-group in the de Sitter space, the different spinor field’s quantization have been demonstrated. In this work, the first quantization of spin $\frac{3}{2}$ field in the time-space de Sitter universe with ambient space notation has been done. [ABSTRACT FROM AUTHOR]