Pure 4D N = 1 supergravity

In supersymmetry, pure 4D N = 1 {\displaystyle {\mathcal {N}}=1} supergravity describes the simplest four-dimensional supergravity, with a single supercharge and a supermultiplet containing a graviton and gravitino. The action consists of the Einstein–Hilbert action and the Rarita–Schwinger action.