Duality transformation and non-Kähler couplings and potentials in an N=1 supergravity theory

A condition for the breakdown of the duality transformation to transform a theory with complex linear superfields to the one with chiral scalar superfields is obtained, when coupled to the N-1 old minimal supergravity multiplet. The recently constructed N=1 supergravity theory, with multiple compensators coupled to a chiral scalar matter supper-field, which has non-Kähler couplings and potential, satisfies this condition. We also indicate other ways of satisfying this condition.