Dynamics of Electroweak Gauge Fields during and after Higgs Inflation
  We study the dynamics of $SU(2)_L$ times $U(1)_Y$ electroweak gauge fields
during and after Higgs inflation. In particular, we investigate configurations
of the gauge fields during inflation and find the gauge fields remain
topologically non-trivial. We also find that the gauge fields grow due to
parametric resonances caused by oscillations of a Higgs field after inflation.
We show that the Chern-Simons number also grows significantly. Interestingly,
the parametric amplification gives rise to sizable magnetic fields after the
inflation whose final amplitudes depend on the anisotropy survived during
inflation.
