Chaotic inflation and baryogenesis in supergravity

A Kaehler potential in supergravity which successfully accommodates chaotic inflation is proposed, which can have a large gravitino mass without giving a large mass to squarks and sleptons, and thus is free from both the Gravitino problem and entropy crisis.

Abstract

We propose a K\"ahler potential in supergravity which successfully accommodates chaotic inflation. This model can have a large gravitino mass without giving a large mass to squarks and sleptons, and thus is free from both the gravitino problem and entropy crisis. In this model baryogenesis takes place naturally, identifying the inflaton with a right-handed sneutrino with its mass $M \simeq 10^{13}$GeV, which is consistent with the COBE data and the Mikheyev--Smirnov--Wolfenstein solution to the solar neutrino problem. The model can also accommodate the matter content appropriate for the mixed dark matter scenario.