Twistors and the BMS group

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Abstract
We compute the motions of null infinity to which the components of the angular momentum of the gravitational field, as defined by Penrose, are conjugate. We find that the boosts are supplemented by anomalous translations. If is the skew bivector determining the component of the angular momentum in question, the anomaly is proportional to , where is a unit vector in the direction of the Bondi--Sachs momentum and is the quadrupole moment of the shear of the cut at which the angular momentum is evaluated. This effect persists in the weak field limit. This surprising result is a general consequence of the requirement that angular momentum be super-translation--invariant in a quiescent regime, and not some essentially twistorial peculiarity.
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