  RR Lyrae stars are excellent tracers of the old population II due to their
period-luminosity (PL) and period-luminosity-metallicity (PLZ) relations. While
these relations have been investigated in detail in many photometric bands,
there are few comprehensive studies about them in Sloan-like systems. We
present PL and PLZ relations (as well as their counterparts in Wesenheit
magnitudes) in the Sloan-Pan-STARSS gP1rP1iP1 bands obtained for Galactic RR
Lyrae stars in the vincinity of the Sun. The data used in this paper were
collected with the network of 40 cm telescopes of the Las Cumbres Observatory,
and geometric parallaxes were adopted from Gaia Data Release 3. We derived PL
and PLZ relations separately for RRab and RRc-type stars, as well as for the
mixed population of RRab+RRc stars. To our knowledge, these are the first PL
and PLZ relations in the Sloan bands determined using RR Lyrae stars in the
Galactic field.
