Supergravity origin of the MSSM inflation

Understand

We consider the supergravity origin of the recently proposed MSSM inflationary model, which relies on the existence of a saddle point along a dimension six flat direction.

• We derive the conditions that the Kahler potential has to satisfy for the saddle point to exist irrespective of the hidden sector vevs.
• We show that these conditions are satisfied by a simple class of Kahler potentials, which we find to have a similar form as in various string theory compactifications.
• For these potentials, slow roll MSSM inflation requires no fine tuning of the soft supersymmetry breaking parameters.