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Conformal inflation from the Higgs
We modify the conformal inflation set-up of \cite{Kallosh:2013hoa}, with a
local Weyl invariance, a dynamical Planck scale and an invariance at
high energies, in order to be able to identify the physical scalar with the
physical Higgs at low energies, similar to the cyclic Higgs models of
\cite{Bars:2013vba}. We obtain a general class of exponentially-corrected
potentials that gives a generalized Starobinsky model with an infinite series
of corrections, tracing a line in the plane for CMB
fluctuations, with an that can be made to agree with the recent BICEP2
measurement. Introducing a coupling different from the conformal value, thus
breaking the local Weyl symmetry, leads nevertheless to a very strong attractor
motion towards the generalized Starobinsky line.Comment: 16 pages, no figures; corrected generalized Starobinsky model in
section 2, references added with comment
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