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We examine the appearance of superconductivity in the strong-coupling limitof the Hubbard model on the pyrochlore lattice. We focus upon the limit of halffilling, where the normal-state band structure realizes a $j=3/2$ semimetal.Introducing doping, we show that the pairing is favored in a $J=2$ quintet$E_g$ state. The attractive interaction in this channel relies on the fact that$E_g$ pairing on the pyrochlore lattice avoids the detrimental on-siterepulsion. Our calculations show that a time-reversal symmetry-breakingsuperconducting phase is favored, which displays Bogoliubov Fermi surfaces.

Bogoliubov Fermi surfaces from pairing of emergent $j=3/2$ fermions on the pyrochlore lattice