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The exciton-polariton modes of a quantum dot lattice embedded in a planaroptical cavity are theoretically investigated. Umklapp terms, in which anexciton interacts with many cavity modes differing by reciprocal latticevectors, appear in the Hamiltonian due to the periodicity of the dot lattice.We focus on Bragg polariton modes obtained by tuning the exciton and the cavitymodes into resonance at high symmetry points of the Brillouin Zone. Dependingon the microcavity design these polaritons modes at finite in-plane momentumcan be guided and can have long lifetimes. Moreover, their effective mass canbe extremely small, of the order of $10^{-8} m_0$ ($m_0$ is the bare electronmass), and they constitute the lightest exciton-like quasi-particles in solids.

Light-mass Bragg cavity polaritons in planar quantum dot lattices