Excitons are bound states between electrons and holes, whose charge neutrality and a priori itinerant nature make them interesting as potential transmitters of information. However, the demonstration of the mobility of such composite excitations has remained inaccessible to traditional optical experiments which only create and detect excitons with negligible momentum or group velocity. Here, we use angle-resolved photoemission spectroscopy (ARPES) to detect dispersing excitons in the quasi-one-dimensional metallic trichalcogenide TaSe3. While screening usually suppresses exciton formation in metals, the low density of conduction electrons, the low dimensionality, and two many-body effects in TaSe3 favor them. First, the conduction band is renormalized close to the Fermi surface, forming a band of heavy polarons. Second, the poorly screened interaction between a photo-induced valence hole and these polarons leads to various distinct excitonic bound states, which we interpret as intrachain and interchain excitons, and possibly even trions. The thresholds for the formation of a photohole together with an exciton show up in the form of unusual side bands in the ARPES spectra. They are nearly parallel to the bare valence band, but lie at lower excitation energies. Furthermore, we find that the energy separation of the side bands can be tuned by surface doping.
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