Roles of electric field/time-dependent Wilson line in toroidal compactification with or without magnetic fluxes

Abstract

We discuss the effects of electric fields along compact directions within (supersymmetric) gauge theory in ${\mathbb{R}}^{1,3}\times {\mathbb{T}}^2(\times {\mathbb{T}}^2\times {\mathbb{T}}^2)$. The electric field along compact directions is equivalent to time-dependent homogeneous configuration of Wilson line moduli, which would be relevant to physics in the early universe. In particular, we consider models with and without background magnetic fluxes, which lead to completely different effects of the electric field due to the difference in the Kaluza-Klein (KK) level structure. We show that, in the case without magnetic fluxes, the deceleration of KK momenta may cause non-perturbative KK particle production dubbed as the KK Schwinger effect, whereas in the case with magnetic flux such KK particle production does not take place but flavor structure of low energy effective theory may be affected.

24+20 pages, 6 figures, v2:typos corrected, comments added

References in corpus (13)

• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
• Neutrino Majorana Masses from String Theory Instanton Effects
• The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses
• Trapped Inflation
• Super-Adiabatic Particle Number in Schwinger and de Sitter Particle Production
• On Features and Nongaussianity from Inflationary Particle Production
• Wilson Line Inflation
• Massive modes in magnetized brane models
• Superadiabatic basis in cosmological particle production: application to preheating
• An analytic evaluation of gravitational particle production of fermions via Stokes phenomenon
• Moduli trapping mechanism in modular flavor symmetric models
• Schwinger effect in compact space: a real time calculation
• Aether SUSY breaking: Can aether be alternative to F-term SUSY breaking?