How do I remove alternator pulley?

I took the alt. off and brought it to three different part shops to see if they could swap the pulley for me, but none of them had an impact wrench, so I bought a set of impact sockets to use with my torque wrench. The size of the alt pulley nut is 24mm, which I have, but it will not come loose! The belt is connected and everything. When I try to loosen in, the alt just spins, even with the belt on. Is there a way to remove this damn pulley without an air impact wrench?
 
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