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  "authors": [
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      "affiliations": [
        {
          "country": "Japan", 
          "value": "Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, , Kyoto University, Kitashirakawa Oiwakecho, Sakyo-Ku, Kyoto 606-8502, , Japan"
        }
      ], 
      "surname": "Aoki", 
      "email": "saoki@yukawa.kyoto-u.ac.jp", 
      "full_name": "Aoki, Sinya", 
      "given_names": "Sinya"
    }
  ], 
  "titles": [
    {
      "source": "OUP", 
      "title": "Noether\u2019s 1st theorem with local symmetries"
    }
  ], 
  "dois": [
    {
      "value": "10.1093/ptep/ptac160"
    }
  ], 
  "publication_info": [
    {
      "journal_title": "Progress of Theoretical and Experimental Physics", 
      "material": "article", 
      "journal_volume": "2022", 
      "artid": "123A02", 
      "year": 2022, 
      "journal_issue": "12"
    }
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    "submission_number": "7a472140815d11ed93fbd61508239648"
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  "page_nr": [
    8
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  "license": [
    {
      "url": "https://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "statement": "\u00a9 The Author(s) 2022. Published by Oxford University Press on behalf of the Physical Society of Japan.", 
      "year": "2022"
    }
  ], 
  "control_number": "74644", 
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    {
      "primary": "Progress of Theoretical and Experimental Physics"
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  "arxiv_eprints": [
    {
      "categories": [
        "hep-th", 
        "gr-qc", 
        "hep-lat", 
        "hep-ph"
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      "value": "2206.00283"
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  ], 
  "abstracts": [
    {
      "source": "OUP", 
      "value": "Abstract Noether\u2019s 2nd theorem applied to a total system states that a global symmetry which is a part of local symmetries does not provide a physically meaningful conserved charge but it instead leads to off-shell constraints as a form of conserved currents. In this paper, we propose a general method to derive a matter-conserved current associated with a special global symmetry in the presence of local symmetries. While currents derived from local symmetries of a matter sector with a covariant background gauge field are not conserved in general, we show that the current associated with a special type of a global symmetry, called a hidden matter symmetry, is on-shell conserved. We apply this derivation to a U(1) gauge theory, general relativity and non-abelian gauge theory. In general relativity, the associated conserved charge agrees with the one recently proposed from a different point of view."
    }
  ], 
  "imprints": [
    {
      "date": "2022-11-28", 
      "publisher": "OUP"
    }
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}