Magnetic warm inflation
  In this work we explore the effects that a possible primordial magnetic field
can have on the inflaton effective potential, taking as the underlying model a
warm inflation scenario, based on global supersymmetry with a
new-inflation-type potential. The decay scheme for the inflaton field is a
two-step process of radiation production, where the inflaton couples to heavy
intermediate superfields, which in turn interact with light particles. In this
context, we consider that both sectors, heavy and light, are charged and work
in the strong magnetic field approximation for the light fields. We find an
analytical expression for the one-loop effective potential, for an arbitrary
magnetic field strength, and show that the trend of the magnetic contribution
is to make the potential flatter, preserving the conditions for a successful
inflationary process.
