# Magnetogenesis from isocurvature initial conditions

## TL;DR

This paper investigates how isocurvature initial conditions affect the generation of magnetic fields in the early universe, revealing that certain modes can significantly enhance magnetic field production and influence cosmological observables.

## Contribution

It extends the analysis of primordial magnetic field generation to include isocurvature modes using a modified Boltzmann code, highlighting potential observational implications.

## Key findings

- Isocurvature modes mildly enhance magnetic field generation compared to adiabatic modes.
- Compensated isocurvature modes can increase magnetic field strength by several orders of magnitude.
- These modes can impact second-order cosmological observables, offering new ways to constrain early universe conditions.

## Abstract

The generation of magnetic fields is a natural consequence of the existence of vortical currents in the pre-recombination era. This has been confirmed in detail for the case of adiabatic initial conditions, using second-order Boltzmann solvers, but has not been fully explored in the presence of isocurvatures. In this work, we use a modified version of the second-order Boltzmann code SONG to compute the magnetic field generated by vortical currents for general initial conditions. A mild enhancement of the generated magnetic field is found in the presence of general isocurvature modes, when compared to the adiabatic case. A particularly interesting case is that of the compensated isocurvature mode, for which the enhancement increases by several orders of magnitude due to the observationally allowed large amplitude of those modes. We show in this particular case how these compensated modes can influence observables at second order, such as the magnetic fields, and produce interesting effects which may be used to constrain these modes in the future.