The cosmological moduli problem is discussed in the framework of sequestere
d sector/anomaly mediated supersymmetry (SUSY) breaking. In this scheme, th
e gravitino mass (corresponding to the moduli masses) is naturally 10-100 T
eV, and hence the lifetime of the moduli fields can be shorter than similar
to 1 sec. As a result, the cosmological moduli fields should decay before
big-bang nucleosynthesis starts. Furthermore, in the anomaly mediated scena
rio, the lightest superparticle (LSP) is the Wine-like neutralino. Although
the large annihilation cross section means the thermal relic density of th
e Wine LSP is too small to be the dominant component of cold dark matter (C
DM), moduli decays can produce Wines in sufficient abundance to constitute
CDM. If Wines are indeed the dark matter, it will be highly advantageous fr
om the point of view of detection. If the halo density is dominated by the
Wine-like LSP, the detection rate of Wine CDM in Ge detectors can be as lar
ge as 0.1-0.01 event/kg/day, which is within the reach of the future CDM de
tection with Ge detector. Furthermore, there is a significant positron sign
al from pair annihilation of Wines in our galaxy which may give a spectacul
ar signal at AMS. (C) 2000 Elsevier Science B.V. All rights reserved.