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A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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1122 · Feb 202119922001200920172026
10 results for supertranslation

Researchers prove CWY angular momentum is supertranslation invariant in double null gauge.

problem Supertranslation invariance of CWY angular momentum in double null gauge.
method Identified and proved supertranslation ambiguity; showed CWY angular momentum is free of this ambiguity.
result CWY angular momentum is supertranslation invariant in double null gauge.

Formulae track evolution of angular momentum and center of mass at null infinity.

problem Tracking the evolution of conserved quantities at null infinity.
method Evolution formulae in Bondi-Sachs coordinates, expressed in terms of shear and news tensors.
result Supertranslation invariance of fluxes, conservation law of angular momentum, duality paradigm.

Formulae for mass and angular momentum transformations under BMS transformations derived from curvature and metric.

problem Deriving transformation formulae for mass and angular momentum under BMS transformations.
method Two approaches: from curvature tensor and metric coefficients.
result Exact expressions for Drey-Streubel angular momentum of a general section.

New definitions of conserved quantities at null infinity resolve ambiguities in general relativity.

problem Ambiguities in defining conserved quantities like angular momentum at null infinity.
method New definitions based on Chen-Wang-Yau quasilocal conserved quantities and optimal isometric embedding theory.
result These new definitions are free of supertranslation ambiguity and limit to classical Bondi mass.

We define a new type of manifold and show it has properties like a pseudo-Riemannian manifold.

problem Defining a new type of manifold.
method Defining a Grassmann odd analogue of a Carrollian manifold and analyzing its properties.
result The reduced manifold is a pseudo-Riemannian manifold and compatible affine connections always exist with torsion.