Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BMS charges without supertranslation ambiguity   The asymptotic symmetry of an isolated gravitating system, or the
Bondi-Metzner-Sachs (BMS) group, contains an infinite-dimensional subgroup of
supertranslations. Despite decades of study, the difficulties with the
"supertranslation ambiguity" persisted in making sense of fundamental notions
such as the angular momentum carried away by gravitational radiation. The
issues of angular momentum and center of mass were resolved by the authors
recently. In this paper, we address the issues for conserved charges with
respect to both the classical BMS algebra and the extended BMS algebra. In
particular, supertranslation ambiguity of the classical charge for the BMS
algebra, as well as the extended BMS algebra, is completely identified. We then
propose a new invariant charge by adding correction terms to the classical
charge. With the presence of these correction terms, the new invariant charge
is then shown to be free from any supertranslation ambiguity. Finally, we prove
that both the classical and invariant charges for the extended BMS algebra are
invariant under the boost transformations.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph