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  "authors": [
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      "affiliations": [
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          "country": "Japan", 
          "value": "Department of Physics, Nagoya University, Nagoya, 464-8602, Japan", 
          "organization": "Nagoya University"
        }
      ], 
      "surname": "Sueishi", 
      "email": "sueishi@eken.phys.nagoya-u.ac.jp", 
      "full_name": "Sueishi, Naohisa", 
      "given_names": "Naohisa"
    }, 
    {
      "affiliations": [
        {
          "country": "Poland", 
          "value": "National Centre for Nuclear Research, Warsaw, 02-093, Poland", 
          "organization": "National Centre for Nuclear Research"
        }
      ], 
      "surname": "Kamata", 
      "email": "skamata11phys@gmail.com", 
      "full_name": "Kamata, Syo", 
      "given_names": "Syo"
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Mathematical Science, Akita University, Akita, 010-8502, Japan", 
          "organization": "Akita University"
        }, 
        {
          "country": "Japan", 
          "value": "Department of Physics, Keio University, Kanagawa, 223-8521, Japan", 
          "organization": "Keio University"
        }
      ], 
      "surname": "Misumi", 
      "email": "tatsuhiromisumi@gmail.com", 
      "full_name": "Misumi, Tatsuhiro", 
      "given_names": "Tatsuhiro"
    }, 
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics, North Carolina State University, Raleigh, NC, 27607, USA", 
          "organization": "North Carolina State University"
        }
      ], 
      "surname": "\u00dcnsal", 
      "email": "unsal.mithat@gmail.com", 
      "full_name": "\u00dcnsal, Mithat", 
      "given_names": "Mithat"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on S 1"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP07(2021)096"
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  "publication_info": [
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      "page_end": "41", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2021", 
      "artid": "JHEP07(2021)096", 
      "year": 2021, 
      "page_start": "1", 
      "journal_issue": "7"
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    "submission_number": "85bc469e346111ecaa1b7aa32592193b"
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  "page_nr": [
    41
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  "license": [
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      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2021"
    }
  ], 
  "control_number": "63503", 
  "record_creation_date": "2021-07-19T06:30:20.071719", 
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  "collections": [
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      "primary": "Journal of High Energy Physics"
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  "arxiv_eprints": [
    {
      "categories": [
        "quant-ph", 
        "hep-th", 
        "math-ph", 
        "math.MP"
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      "value": "2103.06586"
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  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We investigate the exact-WKB analysis for quantum mechanics in a periodic potential, with N minima on S 1. We describe the Stokes graphs of a general potential problem as a network of Airy-type or degenerate Weber-type building blocks, and provide a dictionary between the two. The two formulations are equivalent, but with their own pros and cons. Exact-WKB produces the quantization condition consistent with the known conjectures and mixed anomaly. The quantization condition for the case of N-minima on the circle factorizes over the Hilbert sub-spaces labeled by discrete theta angle (or Bloch momenta), and is consistent with \u2019t Hooft anomaly for even N and global inconsistency for odd N. By using Delabaere-Dillinger-Pham formula, we prove that the resurgent structure is closed in these Hilbert subspaces, built on discrete theta vacua, and by a transformation, this implies that fixed topological sectors (columns of resurgence triangle) are also closed under resurgence."
    }
  ], 
  "imprints": [
    {
      "date": "2021-07-15", 
      "publisher": "Springer"
    }
  ]
}