Abstract

We describe methods for building “semi-realistic” models of F-term inflation. By semi-realistic we mean that they are built in, and obey the requirements of, “semi-realistic” particle physics models. The particle physics models are taken to be effective supergravity theories derived from orbifold compactifications of string theory, and their requirements are taken to be modular invariance, absence of mass terms and stabilization of moduli. We review the particle physics models, their requirements and tools and methods for building inflation models.

Highlights

  • Inflation provides answers for many questions concerning the early universe

  • By semi-realistic we mean that they are built in, and obey the requirements of, “semi-realistic” particle physics models, taken here to be effective supergravity theories derived from orbifold compactifications of string theory

  • The “semi-realistic” particle physics models, within which we will consider inflation model building, are effective supergravity theories derived from orbifold compactifications of the weakly coupled heterotic string [5, 6]

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Summary

Introduction

Inflation provides answers for many questions concerning the early universe. This is remarkable given that we do not have a definite model of inflation. By semi-realistic we mean that they are built in, and obey the requirements of, “semi-realistic” particle physics models, taken here to be effective supergravity theories derived from orbifold compactifications of string theory. We consider such effective supergravity theories to be semi-realistic because they have the potential to explain much of our universe in a self consistent way. This includes a method for building inflation models, a review of previous attempts and, by combining the work of these previous attempts, the construction of a small field inflaton potential.

Scalar Potentials
The Chiral Superfield Formalism
The Linear Superfield Formalism
The Superpotential
The Chiral or Linear Superfield Formalism?
Canonical Normalization of the Inflaton
Modular Invariance
Absence of Mass Terms
Dilaton Stabilization
Kahler Moduli Stabilization
Generating VEVs
D-term VEVs
F -term VEVs
Inflation Model Building
The η-problem and a Method for Building Inflation Models
Preserving Flat Directions I
Preserving Flat Directions II
Loop Corrections
Loop Potential
Phenomenology
Conclusion
D PDqIDqJDXD
B Generating VEVs in the Chiral Superfield Formalism
C Background Calculations
Full Text
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