A moving magnetic field creates an electric current, so all the little magnets create strong electric currents as they move about. Since the energy in an electric current can be used to heat things, this solar electricity heats the plasma and we get the bright points.
Only the plasma in the magnetic fields that move gets hot, so only some parts appear bright when we look at the X-rays coming from the Sun. If the magnetic field is very complicated, then the bright point may have a strange shape... like a pair of wings!
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