  Boyajian' s Star (KIC 8462852) has received significant attention due to its
unusual periodic brightness fluctuations detected by the Kepler Spacecraft and
subsequent ground based observations. Possible explanations for the dips in the
photometric measurements include interstellar or circumstellar dust, and it has
been speculated that an artificial megastructure could be responsible. We
analyze 177 high-resolution spectra of Boyajian's Star in an effort to detect
potential laser signals from extraterrestrial civilizations. The spectra were
obtained by the Lick Observatory's Automated Planet Finder telescope as part of
the Breakthrough Listen Project, and cover the wavelength range of visible
light from 374 to 970 nm. We calculate that the APF would be capable of
detecting lasers of power greater than approximately 24 MW at the distance of
Boyajian's Star, d = 1470 ly. The top candidates from the analysis can all be
explained as either cosmic ray hits, stellar emission lines or atmospheric air
glow emission lines.
