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Brane world effective actions for D-branes with fluxes

Matteo Bertolini, Marco Billo, Alberto Lerda, Jose F. Morales, Rodolfo Russo

Abstract

We develop systematic string techniques to study brane world effective actions for models with magnetized (or equivalently intersecting) D-branes. In particular, we derive the dependence on all NS-NS moduli of the kinetic terms of the chiral matter in a generic non-supersymmetric brane configurations with non-commuting open string fluxes. Near a N=1 supersymmetric point the effective action is consistent with a Fayet-Iliopoulos supersymmetry breaking and the normalization of the scalar kinetic terms is nothing else than the Kahler metric. We also discuss, from a stringy perspective, D and F term breaking mechanisms, and how, in this generic set up, the Kahler metric enters in the physical Yukawa couplings.

Brane world effective actions for D-branes with fluxes

Abstract

We develop systematic string techniques to study brane world effective actions for models with magnetized (or equivalently intersecting) D-branes. In particular, we derive the dependence on all NS-NS moduli of the kinetic terms of the chiral matter in a generic non-supersymmetric brane configurations with non-commuting open string fluxes. Near a N=1 supersymmetric point the effective action is consistent with a Fayet-Iliopoulos supersymmetry breaking and the normalization of the scalar kinetic terms is nothing else than the Kahler metric. We also discuss, from a stringy perspective, D and F term breaking mechanisms, and how, in this generic set up, the Kahler metric enters in the physical Yukawa couplings.

Paper Structure

This paper contains 20 sections, 169 equations, 3 figures.

Table of Contents

  1. Introduction and Summary
  2. Organization of the paper
  3. Outlook
  4. Open Strings in Closed String Background
  5. Bosonic sector
  6. Fermionic sector
  7. Closed String Moduli for Magnetized D-branes
  8. Factorized torus with commuting fluxes
  9. Low-Energy Spectrum on D-branes with Fluxes
  10. Moduli Dependence of the Kähler Metric
  11. The string correlator
  12. Identifying the Kähler metric
  13. Commuting cases
  14. Supersymmetry breaking by $D$- and $F$-terms
  15. Relation with the Yukawa Couplings
  16. ...and 5 more sections

Figures (3)

  • Figure 1: The tetrahedron in $\theta$-space.
  • Figure 2: a) Classical contributions $\mathcal{W}_{IJK}$ to the Yukawa couplings in intersecting D-brane models. b) Quantum contributions $\mathcal{A}_{IJK}$ are given by string correlators
  • Figure 3: The reflection matrices $R_0$ and $R_\pi$ and the monodromy matrices $R = R_\pi^{-1} R_0$ for the three twisted open strings. The matrices pertaining to the different strings are labeled by the angles $\theta$, $\nu$, $\omega$ which determine the eigenvalues of the monodromy according to Eq. (\ref{['diagonalR1']}).