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The Super-Kamiokande detector can be used to search for neutrinos in timecoincidence with gravitational waves detected by the LIGO-Virgo Collaboration(LVC). Both low-energy ($7-100$ MeV) and high-energy ($0.1-10^5$ GeV) sampleswere analyzed in order to cover a very wide neutrino spectrum. Follow-ups of 36(out of 39) gravitational waves reported in the GWTC-2 catalog were examined;no significant excess above the background was observed, with 10 (24) observedneutrinos compared with 4.8 (25.0) expected events in the high-energy(low-energy) samples. A statistical approach was used to compute thesignificance of potential coincidences. For each observation, p-values wereestimated using neutrino direction and LVC sky map ; the most significant event(GW190602_175927) is associated with a post-trial p-value of $7.8\%$($1.4\sigma$). Additionally, flux limits were computed independently for eachsample and by combining the samples. The energy emitted as neutrinos by theidentified gravitational wave sources was constrained, both for given flavorsand for all-flavors assuming equipartition between the different flavors,independently for each trigger and by combining sources of the same nature.

Search for neutrinos in coincidence with gravitational wave events from the LIGO-Virgo O3a Observing Run with the Super-Kamiokande detector