  In this paper, we theoretically investigate how laser fields change the
nature of topological Kondo insulators(TKIs). By employing a prototypical model
of TKIs, we treat the effect of the laser fields with Floquet theory, which
gives effective description under high frequency laser fields. We derive the
effective model of TKIs under the laser irradiation and discuss its topological
properties. We demonstrate a possible realization of Floquet Chern insulators
specified by various values of Chern number and reveal how the topological
phase changes with increasing the laser light intensity. Furthermore, it is
shown that Floquet Weyl semimetals, which have some pairs of Weyl nodes
protected topologically, can emerge in the three-dimensional case. We explain
how the Weyl nodes are created with varying the strength of the laser field.
