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  "authors": [
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          "country": "Japan", 
          "value": "Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba, 277-8583, Japan", 
          "organization": "University of Tokyo"
        }
      ], 
      "surname": "Kobayashi", 
      "email": "r.kobayashi@issp.u-tokyo.ac.jp", 
      "full_name": "Kobayashi, Ryohei", 
      "given_names": "Ryohei"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Pin TQFT and Grassmann integral"
    }
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  "dois": [
    {
      "value": "10.1007/JHEP12(2019)014"
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      "page_end": "26", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2019", 
      "artid": "JHEP12(2019)014", 
      "year": 2019, 
      "page_start": "1", 
      "journal_issue": "12"
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    "submission_number": "6439aa7217a611ea81ff02163e01809a"
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  "page_nr": [
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      "license": "CC-BY-3.0"
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    {
      "holder": "The Author(s)", 
      "year": "2019"
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      "categories": [
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  "abstracts": [
    {
      "source": "Springer", 
      "value": "We discuss a recipe to produce a lattice construction of fermionic phases of matter on unoriented manifolds. This is performed by extending the construction of spin TQFT via the Grassmann integral proposed by Gaiotto and Kapustin, to the unoriented pin \u00b1  case. As an application, we construct gapped boundaries for time-reversal-invariant Gu-Wen fermionic SPT phases. In addition, we provide a lattice definition of (1+1)d pin_ invertible theory whose partition function is the Arf-Brown-Kervaire invariant, which generates the \u21248 classification of (1+1)d topological superconductors. We also compute the indicator formula of \u212416 valued time-reversal anomaly for (2+1)d pin+ TQFT based on our construction."
    }
  ], 
  "imprints": [
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      "date": "2019-12-03", 
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