<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of cea-01230212</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-03T07:26:54+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Lax matrix solution of c = 1 conformal field theory</title>
            <author role="crp">
              <persName>
                <forename type="first">Bertrand</forename>
                <surname>Eynard</surname>
              </persName>
              <email type="md5">bcb0c0795401601030741b4ca1785384</email>
              <email type="domain">ipht.fr</email>
              <idno type="idhal" notation="string">bertrand-eynard</idno>
              <idno type="idhal" notation="numeric">175026</idno>
              <idno type="halauthorid" notation="string">27709-175026</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-0974-4420</idno>
              <affiliation ref="#struct-53952"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Sylvain</forename>
                <surname>Ribault</surname>
              </persName>
              <email type="md5">16c7b3ee7f9e589690a5c11f1f472827</email>
              <email type="domain">cea.fr</email>
              <idno type="idhal" notation="numeric">969996</idno>
              <idno type="halauthorid" notation="string">186422-969996</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-2180-8802</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=MXOraYUAAAAJ</idno>
              <idno type="IDREF">https://www.idref.fr/221449418</idno>
              <idno type="VIAF">https://viaf.org/viaf/201151594506505352642</idno>
              <affiliation ref="#struct-53952"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Emmanuelle</forename>
                <surname>De Laborderie</surname>
              </persName>
              <email type="md5">5b81dbbb55a7cdbdef34e475df11d767</email>
              <email type="domain">cea.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2015-11-18 09:35:38</date>
              <date type="whenModified">2025-04-07 17:19:40</date>
              <date type="whenReleased">2015-11-18 14:45:26</date>
              <date type="whenProduced">2014</date>
              <date type="whenEndEmbargoed">2015-11-18</date>
              <ref type="file" target="https://cea.hal.science/cea-01230212v1/document">
                <date notBefore="2015-11-18"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://cea.hal.science/cea-01230212v1/file/1307.4865v3.pdf" id="file-1230212-1309451">
                <date notBefore="2015-11-18"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/1307.4865"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="192147">
                <persName>
                  <forename>Emmanuelle</forename>
                  <surname>De Laborderie</surname>
                </persName>
                <email type="md5">5b81dbbb55a7cdbdef34e475df11d767</email>
                <email type="domain">cea.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">cea-01230212</idno>
            <idno type="halUri">https://cea.hal.science/cea-01230212</idno>
            <idno type="halBibtex">eynard:cea-01230212</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of High Energy Physics&lt;/i&gt;, 2014, 2014 (59), &lt;a target="_blank" href="https://dx.doi.org/10.1007/JHEP02(2014)059"&gt;&amp;#x27E8;10.1007/JHEP02(2014)059&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of High Energy Physics, 2014, 2014 (59), &amp;#x27E8;10.1007/JHEP02(2014)059&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1230212-1309451"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CEA">CEA - Commissariat à l'énergie atomique</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="DSM-IPHT" corresp="CEA">IPHT</idno>
            <idno type="stamp" n="CEA-DRF" corresp="CEA">Direction de Recherche Fondamentale</idno>
            <idno type="stamp" n="GS-MATHEMATIQUES">Graduate School Mathématiques</idno>
            <idno type="stamp" n="GS-PHYSIQUE">Graduate School Physique</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Lax matrix solution of c = 1 conformal field theory</title>
                <author role="crp">
                  <persName>
                    <forename type="first">Bertrand</forename>
                    <surname>Eynard</surname>
                  </persName>
                  <email type="md5">bcb0c0795401601030741b4ca1785384</email>
                  <email type="domain">ipht.fr</email>
                  <idno type="idhal" notation="string">bertrand-eynard</idno>
                  <idno type="idhal" notation="numeric">175026</idno>
                  <idno type="halauthorid" notation="string">27709-175026</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-0974-4420</idno>
                  <affiliation ref="#struct-53952"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Sylvain</forename>
                    <surname>Ribault</surname>
                  </persName>
                  <email type="md5">16c7b3ee7f9e589690a5c11f1f472827</email>
                  <email type="domain">cea.fr</email>
                  <idno type="idhal" notation="numeric">969996</idno>
                  <idno type="halauthorid" notation="string">186422-969996</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-2180-8802</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=MXOraYUAAAAJ</idno>
                  <idno type="IDREF">https://www.idref.fr/221449418</idno>
                  <idno type="VIAF">https://viaf.org/viaf/201151594506505352642</idno>
                  <affiliation ref="#struct-53952"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">15565</idno>
                <idno type="issn">1126-6708</idno>
                <idno type="eissn">1029-8479</idno>
                <title level="j">Journal of High Energy Physics</title>
                <imprint>
                  <publisher>Springer</publisher>
                  <biblScope unit="volume">2014</biblScope>
                  <biblScope unit="issue">59</biblScope>
                  <date type="datePub">2014</date>
                </imprint>
              </monogr>
              <idno type="arxiv">1307.4865</idno>
              <idno type="doi">10.1007/JHEP02(2014)059</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Matrix factorizations</term>
                <term xml:lang="en">Conformal Field Theory</term>
                <term xml:lang="en">Lax matrix</term>
                <term xml:lang="en">Isomonodromy</term>
              </keywords>
              <classCode scheme="halDomain" n="phys">Physics [physics]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>To a correlation function in a two-dimensional conformal field theory with the central charge c = 1, we associate a matrix differential equation Ψ ′ = LΨ, where the Lax matrix L is a matrix square root of the energy-momentum tensor. Then local conformal symmetry implies that the differential equation is isomonodromic. This provides a justification for the recently observed relation between four-point conformal blocks and solutions of the Painlevé VI equation. This also provides a direct way to compute the three-point function of Runkel-Watts theory – the common c → 1 limit of Minimal Models and Liouville theory.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-53952" status="VALID">
          <idno type="IdRef">152768483</idno>
          <idno type="RNSR">201522372G</idno>
          <idno type="ROR">https://ror.org/058rvd314</idno>
          <idno type="Wikidata">Q19945099</idno>
          <orgName>Institut de Physique Théorique - UMR CNRS 3681</orgName>
          <orgName type="acronym">IPHT</orgName>
          <date type="start">2008-01-01</date>
          <desc>
            <address>
              <addrLine>Institut de Physique ThéoriqueOrme des Merisiers batiment 774 Point courrier 136 CEA/DSM/IPhTCEA/Saclay F-91191 Gif-sur-Yvette Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://ipht.cea.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-419361" type="direct"/>
            <relation name="UMR3681" active="#struct-441569" type="direct"/>
            <relation active="#struct-465913" type="direct"/>
            <relation active="#struct-300016" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-419361" status="VALID">
          <idno type="IdRef">241345251</idno>
          <idno type="ROR">https://ror.org/03xjwb503</idno>
          <orgName>Université Paris-Saclay</orgName>
          <desc>
            <address>
              <addrLine>Bâtiment Bréguet, 3 Rue Joliot Curie 2e ét, 91190 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-paris-saclay.fr/fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="regrouplaboratory" xml:id="struct-465913" status="VALID">
          <idno type="IdRef">251118436</idno>
          <idno type="RNSR">201622496M</idno>
          <idno type="ROR">https://ror.org/01yvj5k91</idno>
          <idno type="Wikidata">Q52604525</idno>
          <orgName>Direction de Recherche Fondamentale (CEA)</orgName>
          <orgName type="acronym">DRF (CEA)</orgName>
          <date type="start">2016-01-01</date>
          <desc>
            <address>
              <addrLine>Direction de Recherche FondamentaleFundamental Research DivisionCEA Saclay91191 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://ceasciences.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300016" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300016" status="VALID">
          <idno type="IdRef">026372061</idno>
          <idno type="ISNI">0000000122998025</idno>
          <idno type="ROR">https://ror.org/00jjx8s55</idno>
          <idno type="Wikidata">Q868550</idno>
          <orgName>Commissariat à l'énergie atomique et aux énergies alternatives</orgName>
          <orgName type="acronym">CEA</orgName>
          <desc>
            <address>
              <addrLine>Centre de SaclayCentre de GrenobleCentre de Cadaracheetc</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.cea.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>