In The Matrix Reloaded, the Twins (played by Neil and Adrian Rayment) are the two silvery, lock haired henchmen of the Merovingian who can become translucent and move through solid objects.
They are also the 'ghosts' the Oracle explains while talking to Neo before the 'Burly Brawl'. In other words, their abilities as programs (becoming translucent and moving through objects) were still usable in exile.
The Twins are first seen with the Merovingian smoking a hookah in his restaurant in The Matrix Reloaded. They smirk at the fact that neither Trinity, Morpheus, nor Neo appear to have the same intellect as The Merovingian. The Twins rarely speak, but when they do it is with a slow paced English accent, and when one speaks to the other, they usually say "we", as opposed to "I".
Later, when Morpheus and crew free the Keymaker, the Merovingian sends the Twins to kill the 'redpill' and recapture the keymaker. They catch up with Morpheus and Trinity in a parking garage and quickly demonstrate both their skill in hand-to-hand combat (using a straight razor) and their ability to become incorporeal. The latter power not only allows bullets to pass harmlessly through them, but also heals injuries they sustain while in corporeal form. Morpheus, Trinity, and the Keymaker flee in a car, but are pursued first by the twins, then by police and by agents.
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