We present the first individual and stacking systematic search for -ray emission in the GeV band with the {\it Fermi} Large Area Telescope (LAT), in the directions of 45 super-luminous supernovae (SLSNe). No excess of \gam rays from the SLSN positions was found. We report -ray luminosity upper limits and discuss the implication of these results on the origin of SLSNe in particular on the scenario of central compact object-aided SNe. From the stacking search, we derive an upper limit at 95% confidence level (CL) to the -ray luminosity (above 600 MeV) ,erg,s for an assumed photon spectrum, for our full SLSN sample. We conclude that the rate of the neutron stars born with millisecond rotation periods {ms and G} must be lower than the rate of the observed SLSNe. The luminosity limits obtained on individual sources are also constraining: in particular, SN2013fc, CSS140222, SN2010kd, and PTF12dam can be born with millisecond periods only if G.

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