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The dynamics of supertranslations and superrotations in 2 + 1 dimensions
Abstract
Supertranslations, and at least in 2 + 1 dimensions superrotations, are asymptotic symmetries of the metric in asymptotically flat spacetimes. They are not, however, symmetries of the boundary term of the Einstein-Hilbert action, which therefore induces an action for the Goldstone-like fields that parametrize these symmetries. I show that in 2 + 1 dimensions, this action is closely related to a chiral Liouville action, as well as the 'Schwarzian' action that appears in two-dimensional near-AdS physics.
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