Transition-metal kagome lattice materials provide an exciting platform for geometrically frustrated, correlated, and topological quantum states of matter. The field has leapt forward upon the recent discovery of superconductivity in the new family of vanadium-based, nonmagnetic kagome superconductors AV3Sb5 (A=K, Cs, Rb). We overview the rapid experimental discoveries in recent months, focusing on the time-reversal symmetry breaking charge density wave (CDW) normal state, the novel pair density wave (PDW) in the superconducting state, and the evidence for an emerging unprecedented charge-6e superconductivity. We argue that the essential phenomenology can be captured by a doped orbital Chern insulator with circulating currents on the kagome lattice. The Chern Fermi pockets carry concentrated Berry curvature. Cooper pairing in the loop-current Chern metal can generate a PDW state characterized by an emergent vortex-antivortex lattice of loop-supercurrents. We discuss possible realizations of charge-6e condensate and intrinsic chiral topological PDW superconductor in these kagome superconductors.
