2,619 research outputs found
An integral transform on a cylinder and the twistor correspondence
Twistor correspondences for R-invariant indefinite self-dual conformal
structures on R^4 are established explicitly. These correspondences are written
down by using a natural integral transform from functions on a two dimensional
cylinder to functions on the flat Lorentz space R^{1,2} which is related to the
wave equation and the Radon transform. A general method on the twistor
construction of indefinite self-dual 4-spaces and indefinite Einstein-Weyl
3-spaces are also summarized.Comment: 15 page
Gravitino Problem in Inflation Driven by Inflaton-Polonyi K\"ahler Coupling
We discuss the cosmological gravitino problem in inflation models in which
the inflaton potential is constructed from K\"ahler potential rather than
superpotential: a representative model is -induced
geometric inflation. A critical ingredient in this type of models is the
coupling of the inflaton and Polonyi (supersymmetry-breaking) field in the
K\"ahler potential, which is needed to build the inflaton potential. We point
out the same coupling let the inflaton dominantly decay into a pair of
inflatino and gravitino causing the gravitino problem. We propose some possible
solutions to this problem.Comment: 14 pages; accepted by PLB, title and abstract changed to clarify the
topic, conclusion not changed, references adde
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