  The inner degrees of the Galactic center contain a large population of
filamentary structures observed at radio frequencies. These so-called
non-thermal radio filaments (NRFs) trace magnetic field lines and have
attracted significant interest due to their hard (S_v ~ -0.1 +/- 0.4)
synchrotron emission spectra. The origin of these filaments remains poorly
understood. We show that the electrons and positrons created through the
annihilations of a relatively light (~5-10 GeV) dark matter particle with the
cross section predicted for a simple thermal relic can provide a compelling
match to the intensity, spectral shape, and flux variation of the NRFs.
Furthermore, the characteristics of the dark matter particle necessary to
explain the synchrotron emission from the NRFs is consistent with those
required to explain the excess gamma-ray emission observed from the Galactic
center by the Fermi-LAT, as well as the direct detection signals observed by
CoGeNT and DAMA/LIBRA.
