Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Moduli Potentials in Type IIA Compactifications with RR and NS Flux

Shamit Kachru, Amir-Kian Kashani-Poor

Abstract

We describe a simple class of type IIA string compactifications on Calabi-Yau manifolds where background fluxes generate a potential for the complex structure moduli, the dilaton, and the Kähler moduli. This class of models corresponds to gauged N=2 supergravities, and the potential is completely determined by a choice of gauging and by data of the N=2 Calabi-Yau model - the prepotential for vector multiplets and the quaternionic metric on the hypermultiplet moduli space. Using mirror symmetry, one can determine many (though not all) of the quantum corrections which are relevant in these models.

Moduli Potentials in Type IIA Compactifications with RR and NS Flux

Abstract

We describe a simple class of type IIA string compactifications on Calabi-Yau manifolds where background fluxes generate a potential for the complex structure moduli, the dilaton, and the Kähler moduli. This class of models corresponds to gauged N=2 supergravities, and the potential is completely determined by a choice of gauging and by data of the N=2 Calabi-Yau model - the prepotential for vector multiplets and the quaternionic metric on the hypermultiplet moduli space. Using mirror symmetry, one can determine many (though not all) of the quantum corrections which are relevant in these models.

Paper Structure

This paper contains 23 sections, 63 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Scalar Potentials from Gauging
  3. Scalar potentials from ${\cal N}=2$ data
  4. Corrections to the tree level CY potential
  5. IIA strings with $F_4$ and $H_3$ flux
  6. Tadpole constraints
  7. The Chern-Simons term
  8. Gauged supergravities arising from $F_4$ and $H_3$ flux
  9. Worldsheet instantons and a toy example
  10. The moduli of the universal hypermultiplet
  11. The dilaton:
  12. The RR axions:
  13. The Kähler moduli
  14. Incorporating string loop corrections
  15. Discussion
  16. ...and 8 more sections

Figures (2)

  • Figure 1: A plot of $4 ({\rm Im \,} {\cal N})^{-1 \, 00} {\cal K} + 3 X^0 \bar{X^0}$ against $\psi$. To produce this and the following plot, the periods around the LG point were expanded to order 6 in $\psi$.
  • Figure 2: A plot of $V_{\phi,\xi,{\tilde{\xi}}}$ against $\psi$.