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Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes

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arxiv 1907.00990 v2 pith:DE43IXRE submitted 2019-07-01 hep-th gr-qc

Uri Kol , Massimo Porrati This is my paper · ORCID
classification hep-thgr-qc
keywords chargesdualspacetimessupertranslationasymptoticallychargefindflat
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abstract

We study several properties of some new charges of asymptotically flat spacetimes. These dual supertranslation charges are akin to the magnetic large $U(1)$ charges in QED. In this paper we find the symmetries associated with these charges and show that the global dual supertranslation charge is topological because it is invariant under globally defined, smooth variations of the asymptotic metric. We also exhibit spacetimes where the charge does not vanish and we find dynamical processes that interpolate between regions with different values of these charges.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Memory effect from the scattering of Taub-NUT black holes

    hep-th 2026-03 conditional novelty 7.0 of 10

    Soft theorems yield a gauge-invariant nutty soft factor and the associated memory tensor for Kerr-Taub-NUT scattering, with magnetic components and directional divergences absent in electromagnetism.

  2. Exploring the Kleinian horizons

    hep-th 2025-05 accept novelty 6.0 of 10

    Near the horizons of the self-dual Schwarzschild-Taub-NUT solution in Klein space, an infinite-dimensional symmetry algebra of supertranslations and superrotations is shown to exist, with integrable Noether charges.

  3. Asymptotic Structure of Einstein-Maxwell-Dilaton Theory and Its Five Dimensional Origin

    hep-th 2019-09 accept novelty 6.0 of 10

    The asymptotic solution space and mass-loss formula for Einstein-Maxwell-dilaton theory are derived, and the Kaluza-Klein case is shown to match five-dimensional pure Einstein gravity.

  4. Dual gravitational charges and soft theorems

    hep-th 2019-08 conditional novelty 6.0 of 10

    The complexified supertranslation charge acts as time translation on one radiative mode and as supertranslation on the other, implying a new soft NUT/graviton theorem.

  5. Dressed States Call for Logarithmic Asymptotic Symmetries

    hep-th 2026-07 conditional novelty 5.0 of 10

    Dressed particles with soft-boson clouds are irreducible unitary representations of asymptotic symmetry groups only after adding logarithmic 'dual' symmetries, which supply the needed Heisenberg central extension.

  6. Taub-NUT from the Dirac monopole

    hep-th 2019-08 conditional novelty 5.0 of 10

    Choosing the Bondi gauge field C0 to be a Dirac monopole yields the Taub-NUT metric in Bondi coordinates.

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