Sounds like you have a key switch that's crapped out; otherwise the whole machine would be acting funky instead of just one key. If that's worn through or bent in some way, it could be "shorting out" where the processor's reading of its position is concerned. (That's not ELECTRICITY, just a faulty reading situation.) If so there could be a screwy default in place, resulting in a full on/off behavior.
First, go to Korg.com and ask for some tech help. THAT'll probably be a slow process, but you'll learn more and it'll work better being solved from the ground up.
Then find a local tech who works on Korgs. While you're at it, presuming you have the bucks, have them check the battery and ALL key contacts. That's a bit cheaper in the long run. Korg sells keys and a few other pieces separately as well, so if its just a leaf switch, a clip and 2 screws you need, it'll save your tech time and save YOU money if you go in with the proper information. And never spill a whole orange soda into a live PolyMoog. Don't ask me how I know.