Pith. sign in

REVIEW 6 cited by

Logarithmic supertranslations and supertranslation-invariant Lorentz charges

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2211.10941 v2 pith:UD6FLJYV submitted 2022-11-20 hep-th gr-qc

Oscar Fuentealba , Marc Henneaux , Cédric Troessaert This is my paper · ORCID
classification hep-thgr-qc
keywords supertranslationslogarithmicalgebrapurecentralgeneratorspoincarabelian
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We extend the BMS(4) group by adding logarithmic supertranslations. This is done by relaxing the boundary conditions on the metric and its conjugate momentum at spatial infinity in order to allow logarithmic terms of carefully designed form in the asymptotic expansion, while still preserving finiteness of the action. Standard theorems of the Hamiltonian formalism are used to derive the (finite) generators of the logarithmic supertranslations. As the ordinary supertranslations, these depend on a function of the angles. Ordinary and logarithmic supertranslations are then shown to form an abelian subalgebra with non-vanishing central extension. Because of this central term, one can make nonlinear redefinitions of the generators of the algebra so that the pure supertranslations ($\ell >1$ in a spherical harmonic expansion) and the logarithmic supertranslations have vanishing brackets with all the Poincar\'e generators, and, in particular, transform in the trivial representation of the Lorentz group. The symmetry algebra is then the direct sum of the Poincar\'e algebra and the infinite-dimensional abelian algebra formed by the pure supertranslations and the logarithmic supertranslations (with central extension). The pure supertranslations are thus completely decoupled from the standard Poincar\'e algebra in the asymptotic symmetry algebra. This implies in particular that one can provide a definition of the angular momentum which is manifestly free from supertranslation ambiguities. An intermediate redefinition providing a partial decoupling of the pure and logarithmic supertranslations is also given.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 6 Pith papers

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

  1. The Energy-Momentum-News Complex near Future Null Infinity

    hep-th 2026-07 accept novelty 7.5 of 10

    A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.

  2. Wheeler-DeWitt equation and Bondi-Metzner-Sachs (BMS) symmetry

    hep-th 2025-06 conditional novelty 6.0 of 10

    BRST-invariant extensions of the BMS generators are constructed and used to define matrix elements between Wheeler-DeWitt states.

  3. Field-dependent diffeomorphisms and the transformation of surface charges between gauges

    hep-th 2024-12 conditional novelty 6.0 of 10

    The Weyl charge in (A)dS3 gravity is kinematical: it can be toggled on or off by a field-dependent diffeomorphism between Bondi-Sachs and Fefferman-Graham gauges.

  4. 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.

  5. Logarithmic matching between past infinity and future infinity: The massless scalar field

    gr-qc 2024-12 accept novelty 5.0 of 10

    Massless scalar fields with dominant logarithmic terms at null infinity obey an antipodal matching condition with a minus sign, opposite to the standard no-log matching.

  6. ADM, BMS, and some puzzling interconnections

    gr-qc 2025-05 conditional novelty 4.0 of 10

    A perspective paper on ADM/BMS interconnections that separates radiative and static angular-momentum loss, and uses an explicit O(G) example to show antipodal energy matching at i0 is not actual energy flow.

Pith tools