  We demonstrate magic wavelengths, at which external electric field produces
null differential Stark shifts, for the $6s ~ {^2}S_{1/2}-6p ~ {^2}P_{1/2,3/2}$
transitions in the Cs atom due to circularly polarized light. In addition, we
also obtain magic wavelengths using linearly polarized light, in order to
verify the previously reported values, and make a comparative study with the
values obtained for circularly polarized light. A number of these wavelengths
are found to be in the optical region and could be of immense interest to
experimentalists for carrying out high precision measurements. To obtain these
wavelengths, we have calculated dynamic dipole polarizabilities of the ground,
$6p ~{^2}P_{1/2}$ and $6p ~{^2}P_{3/2}$ states of Cs. We use the available
precise values of the electric dipole (E1) matrix elements of the transitions
that give the dominant contributions from the lifetime measurements of the
excited states. Other significantly contributing E1 matrix elements are
obtained by employing a relativistic coupled-cluster singles and doubles
method. The accuracies of the dynamic polarizabilities are substantiated by
comparing the static polarizability values with the corresponding experimental
results.
