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Generalized angular momentum and twistors

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TWTW01 - Twistors in Geometry & Physics

In the early 80s Dray and Streubel showed that Penrose’s twistorial formula for angular momentum at scri reproduces the canonical BMS charge whose flux is the Ashtekar-Streubel flux. In the last few years there has been growing interest in enlargements of the BMS algebra. One of this proposals includes the full set of diffeomorphisms of the cross sections of scri, and the corresponding charge is called generalized angular momentum, or super-Lorentz. We discuss the ambiguities of the new charge, how the requirement of covariance tames them down, and compare it to Penrose’s twistorial description.

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