Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Gauge thresholds in the presence of oblique magnetic fluxes

Massimo Bianchi, Elisa Trevigne

Abstract

We compute the one-loop partition function and analyze the conditions for tadpole cancellation in type I theories compactified on tori in the presence of internal oblique magnetic fields. We check open - closed string channel duality and discuss the effect of T-duality. We address the issue of the quantum consistency of the toroidal model with stabilized moduli recently proposed by Antoniadis and Maillard (AM). We then pass to describe the computation of one-loop threshold corrections to the gauge couplings in models of this kind. Finally we briefly comment on coupling unification and dilaton stabilization in phenomenologically more viable models

Gauge thresholds in the presence of oblique magnetic fluxes

Abstract

We compute the one-loop partition function and analyze the conditions for tadpole cancellation in type I theories compactified on tori in the presence of internal oblique magnetic fields. We check open - closed string channel duality and discuss the effect of T-duality. We address the issue of the quantum consistency of the toroidal model with stabilized moduli recently proposed by Antoniadis and Maillard (AM). We then pass to describe the computation of one-loop threshold corrections to the gauge couplings in models of this kind. Finally we briefly comment on coupling unification and dilaton stabilization in phenomenologically more viable models

Paper Structure

This paper contains 14 sections, 113 equations, 2 figures.

Table of Contents

  1. Introduction and Summary
  2. Toroidal compactifications with oblique magnetic fluxes
  3. Open string partition function
  4. Neutral and Dipole strings
  5. Singly and doubly charged strings
  6. Dy-charged strings
  7. Channel duality and tadpoles
  8. UV Divergences
  9. T-duality
  10. Gauge Coupling Thresholds
  11. General analysis
  12. ${\cal N}=1$ sectors
  13. ${\cal N}=2$ sectors
  14. Outlook

Figures (2)

  • Figure 1: D3$_5$ (D3) and D3$_4$ (D3') brane orientation wrt the fundamental cell of $T^3_X$ is shown. The red dashed line along which the two planes intersect indicate the unmagnetized direction.
  • Figure 2: The projection of $D3_4$ and $D3_5$ brane on $T^3_Y$ leads two D1 branes, along the direction $\hat{E}_{h_4}$ and $\hat{E}_{h_5}$ indicated with red arrows. They span the magnetized plane $\Pi(M)$ orthogonal to the winding vector $W_{45}$ (blue arrows).