We study under what conditions massive fields can be ``frozen'' rather than integrated out in certain four dimensional theories with global or local N=1$ supersymmetry. We focus on models without gauge fields, admitting a superpotential of the form W = W_0(H) + epsilon W_1(H,L), with epsilon << 1, where H and L schematically denote the heavy and light chiral superfields. We find that the fields H can always be frozen to constant values H_0, if they approximately correspond to supersymmetric solutions along the H directions, independently of the form of the K\"ahler potential K for H and L, provided K is sufficiently regular. In supergravity W_0 is required to be of order $\epsilon$ at the vacuum to ensure a mass hierarchy between H and L. The backreaction induced by the breaking of supersymmetry on the heavy fields is always negligible, leading to suppressed F^H--terms. For factorizable K\"ahler potentials W_0 can instead be generic. Our results imply that the common way complex structure and dilaton moduli are stabilized, as in Phys. Rev. D {\bf 68} (2003) 046005 by Kachru et al., for instance, is reliable to a very good accuracy, provided W_0 is small enough.
Titolo: | An effective description of the landscape - I |
Autori: | Gallego D; Serone M |
Rivista: | |
Data di pubblicazione: | 2009 |
Fascicolo: | 1 |
Digital Object Identifier (DOI): | 10.1088/1126-6708/2009/01/056 |
Appare nelle tipologie: | 1.1 Journal article |
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