Abstract

The plethora of recent and forthcoming data on the cosmic microwave background (CMB) data are stimulating a new wave of inflationary model-building. Naturalness suggests that the appropriate framework for models of inflation is supersymmetry. This should be combined with gravity in a supergravity theory, whose specific no-scale version has much to commend it, e.g. its derivation from string theory and the flat directions in its effective potential. Simple no-scale supergravity models yield predictions similar to those of the Starobinsky R + R2 model, though some string-motivated versions make alternative predictions. Data are beginning to provide interesting constraints on the rate of inflaton decay into Standard Model particles. In parallel, LHC and other data provide significant constraints on no-scale supergravity models, which suggest that some sparticles might have masses close to present experimental limits.

Highlights

  • For almost two decades the cosmological paradigm has been the ΛCDM model, based on the general theory of relativity with the addition of a cosmological constant Λ

  • I first review aspects of the inflationary paradigm and how it is constrained by cosmic microwave background (CMB) data, discuss models, with emphasis on those based on supersymmetry and supergravity 5, which may provide a bridge between string theory and the particle physics accessible at colliders 6

  • It is already a challenge to write down a simple model of inflation that is compatible with the CMB data, with simple power-law potentials being excluded as seen in Fig. 1, but there are other, deeper challenges

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Summary

Cosmological Inflation

For almost two decades the cosmological paradigm has been the ΛCDM model, based on the general theory of relativity with the addition of a cosmological constant Λ. ΩTot = 1 in a flat universe, with the following fractions provided by a present-day cosmological constant and by matter: ΩΛ 0.69, Ωmatter 0.31, with most of the latter being cold dark matter (CDM). ΩTot = 1 in a flat universe, with the following fractions provided by a present-day cosmological constant and by matter: ΩΛ 0.69, Ωmatter 0.31, with most of the latter being cold dark matter (CDM)4 In this talk, I first review aspects of the inflationary paradigm and how it is constrained by CMB data, discuss models, with emphasis on those based on supersymmetry and (no-scale) supergravity 5, which may provide a bridge between string theory and the particle physics accessible at colliders 6

Slow-Roll Inflationary Models
Challenges for Inflationary Models
The Starobinsky Model
Higgs Inflation
No-Scale Supergravity Models of Inflation
A No-Scale Inflationary Model to Fit Them All
68 Planck BKP BAO
11. Summary

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