Abstract

We find IIb compactifications on Calabi-Yau orientifolds in which all Kahler moduli are stabilized, along lines suggested by Kachru, Kallosh, Linde and Trivedi.

Highlights

  • The problem of stabilizing moduli in superstring compactification has seen much recent progress

  • A benchmark in this progress is the work of Kachru, Kallosh, Linde and Trivedi [1], which builds on many works on Calabi-Yau compactification, flux compactification and other aspects of string compactification to propose a way to construct N = 1 and non-supersymmetric vacua with all moduli stabilized in a controlled regime

  • An important recent work in this direction is that of Kachru, Kallosh, Linde and Trivedi [1], who argue that metastable de Sitter vacua with all moduli stabilized can be constructed in type IIb string theory, at least in an effective potential framework

Read more

Summary

Introduction

The problem of stabilizing moduli in superstring compactification has seen much recent progress. An important recent work in this direction is that of Kachru, Kallosh, Linde and Trivedi [1], who argue that metastable de Sitter vacua with all moduli stabilized can be constructed in type IIb string theory, at least in an effective potential framework. KKLT suggested a recipe by which this could be done, following previous work of many authors on moduli stabilization by fluxes (a very incomplete list includes [28]–[39]) and especially Giddings, Kachru and Polchinski [40] who developed a class of IIb flux compactifications which stabilize the dilaton and complex structure moduli Some advantages of this construction are that it allows fixing the dilaton to weak coupling by making an appropriate choice of flux, and that cancellations can bring the flux contribution to the potential below the string scale.

Review of KKLT construction
Fixing moduli using fluxes
Fixing size moduli
Breaking supersymmetry
Details of size moduli stabilization
Instanton superpotentials
Gauge theory superpotentials
Complete sets of divisors
Parameters
Geometric considerations
Details of flux stabilization
Metastability
Search for models
D2 D3 D4 D5 D6
The F18 model
Topological analysis
D2 D3 D4 D5 D6 D7 D8
Nonperturbative superpotential
Complex structure moduli
Flux vacua
The F11 model
Numerical results on Kahler stabilization
F11 model
Conclusions
Counting flux vacua when b3 is large
Taming the complex structure moduli space of the F18 model
Intersections
Mori cone
Kahler cone
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call