LIGO-Virgo-KAGRA Searches for Continuous Gravitational Waves from Scorpius X-1

The low-mass X-ray binary Scorpius X-1 is a promising source of continuous gravitational waves. Its high X-ray luminosity indicates a large rate of accretion, which may power GW emission. A variety of methods have been developed and applied to search for a GW signal, which presents challenges because of the unknown signal frequency and residual uncertainties in orbital parameters. Searches with advanced gravitational wave detectors have begun to probe astrophysically plausible signal models. I will summarize results from the first three observing runs of LIGO, Virgo and KAGRA, along with the status of searches in the ongoing LIGO-Virgo-KAGRA O4 run.