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We consider N=2 supergravity theories that have the same spectrum as theR+R^2 supergravity, as predicted from the off-shell counting of degrees offreedom. These theories describe standard N=2 supergravity coupled to one ortwo long massive vector multiplets. The central charge is not gauged in thesemodels and they have a Minkowski vacuum with N=2 unbroken supersymmetry. Thegauge symmetry, being non-compact, is always broken. $\alpha$-deformed inflatonpotentials are obtained, in the case of a single massive vector multiplet, with$\alpha=1/3$ and $2/3$. The $\alpha=1$ potential (i.e. the Starobinskypotential) is also obtained, but only at the prize of having a single massivevector and a residual unbroken gauge symmetry. The inflaton corresponds to oneof the Cartan fields of the non-compact quaternionic-K{\"a}hler cosets.

A Search for an N=2 Inflaton Potential