Large-scale magnetic fields from inflation due to a $CPT$-even
  Chern-Simons-like term with Kalb-Ramond and scalar fields
  We investigate the generation of large-scale magnetic fields due to the
breaking of the conformal invariance in the electromagnetic field through the
$CPT$-even dimension-six Chern-Simons-like effective interaction with a fermion
current by taking account of the dynamical Kalb-Ramond and scalar fields in
inflationary cosmology. It is explicitly demonstrated that the magnetic fields
on 1Mpc scale with the field strength of $\sim 10^{-9}$G at the present time
can be induced.
