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  "authors": [
    {
      "affiliations": [
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          "country": "UK", 
          "value": "Mathematical Sciences and STAG Research Centre, University of Southampton, Highfield, Southampton, SO17 1BJ, U.K.", 
          "organization": "University of Southampton"
        }
      ], 
      "surname": "Parisini", 
      "email": "e.parisini@soton.ac.uk", 
      "full_name": "Parisini, Enrico", 
      "given_names": "Enrico"
    }, 
    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Mathematical Sciences and STAG Research Centre, University of Southampton, Highfield, Southampton, SO17 1BJ, U.K.", 
          "organization": "University of Southampton"
        }
      ], 
      "surname": "Skenderis", 
      "email": "k.skenderis@soton.ac.uk", 
      "full_name": "Skenderis, Kostas", 
      "given_names": "Kostas"
    }, 
    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Mathematical Sciences and STAG Research Centre, University of Southampton, Highfield, Southampton, SO17 1BJ, U.K.", 
          "organization": "University of Southampton"
        }
      ], 
      "surname": "Withers", 
      "email": "b.s.withers@soton.ac.uk", 
      "full_name": "Withers, Benjamin", 
      "given_names": "Benjamin"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "The ambient space formalism"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP05(2024)296"
    }
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      "page_end": "76", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2024", 
      "artid": "JHEP05(2024)296", 
      "year": 2024, 
      "page_start": "1", 
      "journal_issue": "5"
    }
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    "method": "Springer", 
    "submission_number": "955c9a181d5211ef9fecbe60ec5a7b90"
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  "page_nr": [
    76
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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": "2024"
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  "control_number": "85857", 
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  "collections": [
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      "primary": "Journal of High Energy Physics"
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  "arxiv_eprints": [
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      "categories": [
        "hep-th", 
        "gr-qc", 
        "math.DG"
      ], 
      "value": "2312.03820"
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  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We present a new formalism to solve the kinematical constraints due to Weyl invariance for CFTs in curved backgrounds and/or non-trivial states, and we apply it to thermal CFTs and to CFTs on squashed spheres. The ambient space formalism is based on constructing a class of geometric objects that are Weyl covariant and identifying them as natural building blocks of correlation functions. We construct (scalar) n-point functions and we illustrate the formalism with a detailed computation of 2-point functions. We compare our results for thermal 2-point functions with results that follow from thermal OPEs and holographic computations, finding exact agreement. In our holographic computation we also obtain the OPE coefficient of the leading double-twist contribution, and we discuss how the double-twist coefficients may be computed from the multi-energy-momentum contributions, given knowledge of the analytic structure of the correlator. The 2-point function for the CFT on squashed spheres is a new result. We also discuss the relation of our work to flat holography."
    }
  ], 
  "imprints": [
    {
      "date": "2024-05-27", 
      "publisher": "Springer"
    }
  ]
}