Abstract
Abstract We compute the effective Kahler potential for matter fields in warped compactifications, starting from five dimensional gauged supergravity, as a function of the matter fields localization. We show that truncation to zero modes is inconsistent and the tree-level exchange of the massive gravitational multiplet is needed for consistency of the four-dimensional theory. In addition to the standard Kahler coming from dimensional reduction, we find the quartic correction coming from integrating out the gravity multiplet. We apply our result to the computation of scalar masses, by assuming that the SUSY breaking field is a bulk hypermultiplet. In the limit of extreme opposite localization of the matter and the spurion fields, we find zero scalar masses, consistent with sequestering arguments. Surprisingly enough, for all the other cases the scalar masses are tachyonic. This suggests the holographic interpretation that a CFT sector always generates operators contributing in a tachyonic way to scalar masses. Viability of warped supersymmetric compactifications necessarily asks then for additional contributions. We discuss the case of additional bulk vector multiplets with mixed boundary conditions, which is a particularly simple and attractive way to generate large positive scalar masses. We show that in this case successful fermion mass matrices implies highly degenerate scalar masses for the first two generations of squarks and sleptons.
Highlights
Meson resonances described by the KK modes
We have calculated the effective Kahler potential of chiral zero modes originating from bulk hypermultiplets
The form of the effective Kahler potential implies tachyonic soft masses for scalars, irrespective of their localization, if the supersymmetry breaking spurion arises from a bulk field
Summary
The five dimensional supergravity Lagrangian with and without matter has been developed by many authors [26,27,28,29,30,31,32,33,34,35,36,37,38]. For definiteness we will only consider two classes of sigma models, the spaces They are the simplest ones in the sense that they can be constructed with the smallest amount of compensator hypermultiplets (one in the case of the symplectic coset, two for the unitary case). In the following we will only keep terms in the matter Lagrangian that contribute to the sources of the bosonic supergravity fields as well as the self-interactions of the scalars and fermions. With p = 1 (p = 2) for the unitary (symplectic) cosets respectively, and Φ0 denotes the chiral zero mode that can either belong to Φ− or Φ+.
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