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      "raw_name": "Mironov, A.", 
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        {
          "country": "Russia", 
          "value": "Institute for Information Transmission Problems, Moscow, 127994, Russia"
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        {
          "country": "Russia", 
          "value": "ITEP, Moscow, 117218, Russia"
        }, 
        {
          "country": "Russia", 
          "value": "Lebedev Physics Institute, Moscow, 119991, Russia"
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      "surname": "Mironov", 
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      "full_name": "Mironov, A."
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    {
      "raw_name": "Morozov, A.", 
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          "country": "Russia", 
          "value": "Institute for Information Transmission Problems, Moscow, 127994, Russia"
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        {
          "country": "Russia", 
          "value": "ITEP, Moscow, 117218, Russia"
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      "surname": "Morozov", 
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      "full_name": "Morozov, A."
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  "titles": [
    {
      "source": "Elsevier", 
      "title": "On determinant representation and integrability of Nekrasov functions"
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  "abstracts": [
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      "source": "Elsevier", 
      "value": "Conformal blocks and their AGT relations to LMNS integrals and Nekrasov functions are best described by \u201cconformal\u201d (or Dotsenko\u2013Fateev) matrix models, but in non-Gaussian Dijkgraaf\u2013Vafa phases, where different eigenvalues are integrated along different contours. In such matrix models, the determinant representations and integrability are restored only after a peculiar Fourier transform in the numbers of integrations. From the point of view of conformal blocks, this is Fourier transform w.r.t. the intermediate dimensions, and this explains why such quantities are expressed through tau-functions in Miwa parametrization, with external dimensions playing the role of multiplicities. In particular, these determinant representations provide solutions to the Painlev\u00e9 VI equation. We also explain how this pattern looks in the pure gauge limit, which is described by the Brezin\u2013Gross\u2013Witten matrix model."
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