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We present a simple model for low-luminosity active galactic nucleus (LLAGN)feedback through winds produced by a hot accretion flow. The wind carriesconsiderable energy and deposits it on the host galaxy at kiloparsec scales andbeyond, heating the galactic gas thereby quenching star formation. Our modelpredicts that the typical LLAGN can quench more than $10\%$ of star formationin its host galaxy. We find that long-lived LLAGN winds from supermassive blackholes (SMBH) with masses $\geq 10^8 M_{\odot}$ and mass accretion rates$\dot{M} > 10^{-3} \medd \ (0.002 \msun / yr)$ can prevent gas collapse andsignificantly quench galactic star formation compared to a scenario withoutAGN, if the wind persists over 1 Myr. For sustained wind production overtimescales of 10 Myr or longer, SMBHs with $10^8 M_{\odot}$ or larger masseshave important feedback effects with $\dot{M} > 10^{-4} \medd \ (0.0002 \msun /yr)$.

Quenching star formation with low-luminosity AGN winds