From a thick to a thin supergravity domain wall - art. no. 064021

Within D = 4, N = 1 supergravity theory we obtain an effective theory of th e thin wall limit for a flat domain wall configuration, interpolating betwe en isolated supersymmetric extrema of the matter potential. We focus on the Z(2) symmetric flat wall and derive the supersymmetric effective action bo th in the bulk and on the wall; in the thin wall limit the scalar field, fo rming the wall, is frozen, and provides the delta function domain wall sour ce, while its fermionic partner decouples due to its large mass. In additio n, the interaction between the gravitational supermultiplet and the interac tion of the matter multiplet decouples on the wall. While the results are e xplicitly demonstrated within N = 1, D=4 supergravity, we also provide a ge neralization of the result to D dimensions.