  We study the curvaton scenario in supersymmetric framework paying particular
attention to the fact that scalar fields are inevitably complex in
supersymmetric theories. If there are more than one scalar fields associated
with the curvaton mechanism, isocurvature (entropy) fluctuations between those
fields in general arise, which may significantly affect the properties of the
cosmic density fluctuations. We examine several candidates for the curvaton in
the supersymmetric framework, such as moduli fields, Affleck-Dine field, $F$-
and $D$-flat directions, and right-handed sneutrino. We estimate how the
isocurvature fluctuations generated in each case affect the cosmic microwave
background angular power spectrum. With the use of the recent observational
result of the WMAP, stringent constraints on the models are derived and, in
particular, it is seen that large fraction of the parameter space is excluded
if the Affleck-Dine field plays the role of the curvaton field. Natural and
well-motivated candidates of the curvaton are also listed.
