Abstract
We discuss four-dimensional effective actions of string theory flux compactifications. These effective actions describe four-dimensional gravity coupled to the overall Kähler modulus of the compactification manifold. We demonstrate the agreement between ten-dimensional equations of motion of supergravity with localized branes and equations of motion derived from the effective action. The agreement is lost, however, if one evaluates the full effective action on the equations of motion for a subset of the supergravity modes, provided these modes depend on shell on the Kähler modulus.

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