The closest star system to our Solar System is Alpha Centauri.
But is our Solar System the closest star system to Alpha Centuari?
If not, which star system is?
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The sun is the nearest star to Alpha Centauri (unless you count Proxima Centauri, which is really part of the same system).
There is a very small and dim pair of brown dwarfs, called Luhman 16 that are closer, at about 3.6 light years from Alpha Centauri. Brown dwarfs are not true stars, but they do glow from their own heat. They were only discovered in 2011. It is possible that there are other very dim objects, but these would not be stars either in the strict sense.