The open story of the magnetic fluxes

TL;DR

This paper analyzes how oblique magnetic fluxes on D-branes influence the spectrum of open strings in type I superstring compactifications, providing formulas for magnetic shifts, and discusses moduli stabilization and potential low-energy implications.

Contribution

It derives general formulas for magnetic shifts and multiplicities of open strings with arbitrary fluxes, and explores moduli stabilization mechanisms in string compactifications.

Findings

Derived formulas for magnetic shifts and multiplicities.

Discussed flux-induced potential and moduli stabilization.

Commented on extensions to orbifolds and conformal field theories.

Abstract

We discuss the effects of oblique internal magnetic fields on the spectrum of type I superstrings compactified on tori. In particular we derive general formulae for the magnetic shifts and multiplicities of open strings connecting D9-branes with arbitrary magnetic fluxes. We discuss the flux induced potential and offer an interpretation of the stabilization of R-R moduli associated to deformations of the complex structure of T^6 in terms of non-derivative mixing with NS-NS moduli. Finally we briefly comment on how to extract other low energy couplings and generalize our results to toroidal orbifolds and other configurations governed by rational conformal field theories on the worldsheet.