  We have developed a Fock-space relativistic coupled-cluster theory based
method for the calculation of electric dipole polarizability of one-valence
atoms and ions. We employ this method to compute the ground-state and
spin-orbit coupled excited state electric dipole polarizability of Al and In.
To check the quality of many-electron wavefunctions, we also compute the
excitation energies of some low-lying states of Al and In. The effects of Breit
interaction and QED corrections from the Uehling potential and the self-energy
are included to improve the accuracy of $\alpha$ further. Our recommended value
of ground-state $\alpha$ for both atoms are in good agreement with the previous
theoretical results. From our computations, we find that more than 65\% of
contributions come from the dipolar mixing of $3p$($5p$) with $3d$($5d$) and
$4s$($6s$)-electrons for Al(In). The largest Breit and QED contributions are
found to be 1.3\% and 0.6\%, respectively.
