Localization of supergravity on the brane

A supersymmetric Randall-Sundrum brane-world demands that not merely the gr aviton but the entire supergravity multiplet be trapped on the brane. To de monstrate this. we present a complete ansatz for the reduction of (D = 5, N = 4) gauged supergravity to (D = 4, N = 2) ungauged supergravity in the Ra ndall-Sundrum geometry. We verify that it is consistent to lowest order in fermion terms. In particular, we show how the graviphotons avoid the 'no ph otons on the brane' result because they do not originate from Maxwell's equ ations in D = 5 but rather from odd-dimensional self-duality equations. In the case of the fivebrane. the Randall-Sundrum mechanism also provides a ne w Kaluza-Klein way of obtaining chiral supergravity starting from non-chira l. (C) 2001 Elsevier Science B.V. All rights reserved.