Gravitino condensate in $N=1$ supergravity coupled to the $N=1$ supersymmetric Born-Infeld theory

Understand

The $N=1$ supersymmetric Born-Infeld theory coupled to $N=1$ supergravity in four spacetime dimensions is studied in the presence of a cosmological term with spontaneous supersymmetry breaking.

• The consistency is achieved by compensating a negative contribution to the cosmological term from the Born-Infeld theory by a positive contribution originating from the gravitino condensate.
• This leads to an identification of the Born-Infeld scale with the supersymmetry breaking scale.
• The dynamical formation of the gravitino condensate in supergravity is reconsidered and the induced one-loop effective potential is derived.