  Frenkel polaritons, hybrid light-matter quasiparticles, offer promises for
the designing of new opto-electronic devices. However, their technological
implementations are hindered by sensitivity to imperfections. Topology has
raised as a way to circumvent defects and fabrication limitations. Here, we
propose a lattice of cavities to realize the one-dimensional
Su-Schrieffer-Heeger model (SSH) for topological Frenkel polaritons. By
engineering the configuration of the cavities we demonstrate that the SSH
topological and trivial phases can be accessed, which we unravel by
complementary classical and quantum theories. We demonstrate the polariton edge
state robustness under defects and the broadening of the photon and exciton
lines. Our findings propose a realistic yet simple experimental setup to
realize topological room temperature polaritons.
