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Flat Potential for Inflaton with a Discrete $R$-invariance in Supergravity

K. Kumekawa, T. Moroi, T. Yanagida

Abstract

We show that a very flat potential of inflaton required for a sufficient inflation is naturally obtained in $N=1$ supergravity by imposing a discrete $R$-invariance $Z_{n}$. Several cosmological constraints on parameters in the inflaton superpotential are derived. The reheating temperature turns out to be $(1-10^8)$GeV for the cases of $n$=3--10. Baryogenesis in this model is also discussed briefly.

Flat Potential for Inflaton with a Discrete $R$-invariance in Supergravity

Abstract

We show that a very flat potential of inflaton required for a sufficient inflation is naturally obtained in supergravity by imposing a discrete -invariance . Several cosmological constraints on parameters in the inflaton superpotential are derived. The reheating temperature turns out to be GeV for the cases of =3--10. Baryogenesis in this model is also discussed briefly.

Paper Structure

This paper contains 6 sections, 41 equations, 1 table.

Table of Contents

  1. 1. Introduction
  2. 2. Discrete $R$-symmetries and the inflaton potential
  3. 3. Cosmological constraints
  4. 4. Conclusion
  5. Acknowledgments
  6. Figure caption