Inflation in supergravity without Kahler potential

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We propose a new class of inflation models in supergravity with higher derivative terms. In those models, the Kähler potential does not contain the inflaton multiplet, but a supersymmetric derivative term does. In the models, inflation is effectively driven by a single scalar field with a standard kinetic term and a scalar potential. Remarkably, the so-called η problem does not exist in our models.