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  "authors": [
    {
      "affiliations": [
        {
          "country": "Switzerland", 
          "value": "Section de Math\u00e9matiques, Universit\u00e9 de Gen\u00e8ve, Gen\u00e8ve 4, 1211, Switzerland", 
          "organization": "Universit\u00e9 de Gen\u00e8ve"
        }, 
        {
          "country": "CERN", 
          "value": "Theoretical Physics Department, CERN, Geneva 23, 1211, Switzerland", 
          "organization": "Theoretical Physics Department, CERN"
        }
      ], 
      "surname": "Grassi", 
      "email": "alba.grassi@unige.ch", 
      "full_name": "Grassi, Alba", 
      "given_names": "Alba"
    }, 
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics, University of Texas at Austin, 2515 Speedway, C1600, Austin, TX, 78712-1992, USA", 
          "organization": "University of Texas at Austin"
        }
      ], 
      "surname": "Hao", 
      "email": "qhao@utexas.edu", 
      "full_name": "Hao, Qianyu", 
      "given_names": "Qianyu"
    }, 
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Mathematics, Yale University, P.O. Box 208283, New Haven, CT, 06520-8283, USA", 
          "organization": "Yale University"
        }
      ], 
      "surname": "Neitzke", 
      "email": "andrew.neitzke@yale.edu", 
      "full_name": "Neitzke, Andrew", 
      "given_names": "Andrew"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Exact WKB methods in SU(2) Nf = 1"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP01(2022)046"
    }
  ], 
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      "page_end": "63", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2022", 
      "artid": "JHEP01(2022)046", 
      "year": 2022, 
      "page_start": "1", 
      "journal_issue": "1"
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    "submission_number": "fc976102d6bb11eca1a1661ec451a4e4"
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  "page_nr": [
    63
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  "license": [
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      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
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  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2022"
    }
  ], 
  "control_number": "67202", 
  "record_creation_date": "2022-01-13T00:30:23.814446", 
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  "collections": [
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      "primary": "Journal of High Energy Physics"
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      "categories": [
        "hep-th", 
        "math-ph", 
        "math.MP"
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      "value": "2105.03777"
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  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We study in detail the Schr\u00f6dinger equation corresponding to the four dimensional SU(2)   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 2 SQCD theory with one flavour. We calculate the Voros symbols, or quantum periods, in four different ways: Borel summation of the WKB series, direct computation of Wronskians of exponentially decaying solutions, the TBA equations of Gaiotto-Moore-Neitzke/Gaiotto, and instanton counting. We make computations by all of these methods, finding good agreement. We also study the exact quantization condition for the spectrum, and we compute the Fredholm determinant of the inverse of the Schr\u00f6dinger operator using the TS/ST correspondence and Zamolodchikov\u2019s TBA, again finding good agreement. In addition, we explore two aspects of the relationship between singularities of the Borel transformed WKB series and BPS states: BPS states of the 4d theory are related to singularities in the Borel transformed WKB series for the quantum periods, and BPS states of a coupled 2d+4d system are related to singularities in the Borel transformed WKB series for local solutions of the Schr\u00f6dinger equation."
    }
  ], 
  "imprints": [
    {
      "date": "2022-01-11", 
      "publisher": "Springer"
    }
  ]
}