2,665 research outputs found
The Renormalizable Three-Term Polynomial Inflation with Large Tensor-to-Scalar Ratio
We systematically study the renormalizable three-term polynomial inflation in
the supersymmetric and non-supersymmetric models. The supersymmetric inflaton
potentials can be realized in supergravity theory, and only have two
independent parameters. We show that the general renormalizable supergravity
model is equivalent to one kind of our supersymmetric models. We find that the
spectral index and tensor-to-scalar ratio can be consistent with the Planck and
BICEP2 results, but the running of spectral index is always out of the
range. If we do not consider the BICEP2 experiment, these
inflationary models can be highly consistent with the Planck observations and
saturate its upper bound on the tensor-to-scalar ratio (). Thus,
our models can be tested at the future Planck and QUBIC experiments.Comment: 38 pages, 40 figure
P-harmonic theory on ellipsoids with geometric applications.
In the first part of this thesis, we are interested in representing homotopy groups by p-harmonic maps with applications to minimal submanifolds of ellipsoids. In the second part, we discuss Liouville-type theorems for p-harmonic or p-stable maps into either a closed upper-half ellipsoid or a p-SSU ellipsoid. In the third part, we are interested in existence and non-existence of stable rectifiable currents on an ellipsoid. In the forth part, we study ellipsoids as geometric applications of Yang-Mills instabilities of convex hypersurfaces. In the fifth part, we verify that all of conclusions in the above topological, analytic and geometric theorems on ellipsoids are still valid on compact convex hypersurfaces. In the last part, we make sharp global integral estimates by a unified method, and find a dichotomy between constancy and infinity of weak sub- and supersolutions of a large class of degenerate and singular nonlinear partial differential equations on complete noncompact Riemannian manifolds
The Minimal GUT with Inflaton and Dark Matter Unification
Giving up the solutions to the fine-tuning problems, we propose the
non-supersymmetric flipped model based on the minimal
particle content principle, which can be constructed from the four-dimensional
models, five-dimensional orbifold models, and local F-theory
models. To achieve gauge coupling unification, we introduce one pair
of vector-like fermions, which form complete
representation. Proton lifetime is around years, neutrino
masses and mixing can be explained via seesaw mechanism, baryon asymmetry can
be generated via leptogenesis, and vacuum stability problem can be solved as
well. In particular, we propose that inflaton and dark matter particle can be
unified to a real scalar field with symmetry, which is not an axion and
does not have the non-minimal coupling to gravity. Such kind of scenarios can
be applied to the generic scalar dark matter models. Also, we find that the
vector-like particle corrections to the masses can be about 6.6%, while
their corrections to the and masses are negligible.Comment: 5 pages, 4 figures;V2: published versio
Supergravity inflation on a brane
We discuss supergravity inflation in braneworld cosmology for the class of
potentials with .
These minimal SUGRA models evade the problem due to a broken shift
symmetry and can easily accommodate the observational constraints. Models with
smaller are preferred while models with larger are out of the
region. Remarkably, the field excursions required for -foldings stay
sub-planckian .Comment: 10 pages, 4 figure
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