{"id":"https://openalex.org/W3025538384","doi":"https://doi.org/10.3390/axioms9020054","title":"The Generalized Hypergeometric Structure of the Ward Identities of CFT\u2019s in Momentum Space in d &gt; 2","display_name":"The Generalized Hypergeometric Structure of the Ward Identities of CFT\u2019s in Momentum Space in d &gt; 2","publication_year":2020,"publication_date":"2020-05-14","ids":{"openalex":"https://openalex.org/W3025538384","doi":"https://doi.org/10.3390/axioms9020054","mag":"3025538384"},"language":"en","primary_location":{"id":"doi:10.3390/axioms9020054","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9020054","pdf_url":"https://www.mdpi.com/2075-1680/9/2/54/pdf","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/9/2/54/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006317102","display_name":"Claudio Corian\u00f2","orcid":"https://orcid.org/0000-0003-0479-8075"},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]},{"id":"https://openalex.org/I4210095193","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Lecce","ror":"https://ror.org/00qrf6g60","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210095193"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Claudio Corian\u00f2","raw_affiliation_strings":["Dipartimento di Matematica e Fisica \u201cEnnio De Giorgi\u201d, Universit\u00e0 del Salento and INFN-Lecce, Via Arnesano, 73100 Lecce, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Fisica \u201cEnnio De Giorgi\u201d, Universit\u00e0 del Salento and INFN-Lecce, Via Arnesano, 73100 Lecce, Italy","institution_ids":["https://openalex.org/I4210095193","https://openalex.org/I142910587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081045633","display_name":"Matteo Maria Maglio","orcid":"https://orcid.org/0000-0002-7593-660X"},"institutions":[{"id":"https://openalex.org/I4210095193","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Lecce","ror":"https://ror.org/00qrf6g60","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210095193"]},{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Matteo Maria Maglio","raw_affiliation_strings":["Dipartimento di Matematica e Fisica \u201cEnnio De Giorgi\u201d, Universit\u00e0 del Salento and INFN-Lecce, Via Arnesano, 73100 Lecce, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Fisica \u201cEnnio De Giorgi\u201d, Universit\u00e0 del Salento and INFN-Lecce, Via Arnesano, 73100 Lecce, Italy","institution_ids":["https://openalex.org/I4210095193","https://openalex.org/I142910587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006317102"],"corresponding_institution_ids":["https://openalex.org/I142910587","https://openalex.org/I4210095193"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":3.7444,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.92792209,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"9","issue":"2","first_page":"54","last_page":"54"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypergeometric-function","display_name":"Hypergeometric function","score":0.6316455602645874},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.6306058168411255},{"id":"https://openalex.org/keywords/generalized-hypergeometric-function","display_name":"Generalized hypergeometric function","score":0.6070711612701416},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5953937768936157},{"id":"https://openalex.org/keywords/conformal-symmetry","display_name":"Conformal symmetry","score":0.5539026260375977},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.530838131904602},{"id":"https://openalex.org/keywords/conformal-field-theory","display_name":"Conformal field theory","score":0.4904634654521942},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46317723393440247},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4574737548828125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39581042528152466},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10418224334716797}],"concepts":[{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.6316455602645874},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.6306058168411255},{"id":"https://openalex.org/C158241908","wikidata":"https://www.wikidata.org/wiki/Q109744257","display_name":"Generalized hypergeometric function","level":3,"score":0.6070711612701416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5953937768936157},{"id":"https://openalex.org/C173848574","wikidata":"https://www.wikidata.org/wiki/Q3507963","display_name":"Conformal symmetry","level":3,"score":0.5539026260375977},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.530838131904602},{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.4904634654521942},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46317723393440247},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4574737548828125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39581042528152466},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10418224334716797}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms9020054","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9020054","pdf_url":"https://www.mdpi.com/2075-1680/9/2/54/pdf","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7741815b16cc49ab8a4fb2256d9a6cbb","is_oa":true,"landing_page_url":"https://doaj.org/article/7741815b16cc49ab8a4fb2256d9a6cbb","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 9, Iss 2, p 54 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/9/2/54/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms9020054","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 9; Issue 2; Pages: 54","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms9020054","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms9020054","pdf_url":"https://www.mdpi.com/2075-1680/9/2/54/pdf","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321652","display_name":"Eidgen\u00f6ssische Technische Hochschule Z\u00fcrich","ror":"https://ror.org/05a28rw58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3025538384.pdf","grobid_xml":"https://content.openalex.org/works/W3025538384.grobid-xml"},"referenced_works_count":79,"referenced_works":["https://openalex.org/W1491446842","https://openalex.org/W1520510487","https://openalex.org/W1591962100","https://openalex.org/W1597171048","https://openalex.org/W1802466452","https://openalex.org/W1970179815","https://openalex.org/W1972810286","https://openalex.org/W1977697825","https://openalex.org/W1985777033","https://openalex.org/W1989379892","https://openalex.org/W2003580206","https://openalex.org/W2008000422","https://openalex.org/W2009930506","https://openalex.org/W2012735857","https://openalex.org/W2014758694","https://openalex.org/W2016974034","https://openalex.org/W2036396283","https://openalex.org/W2039020952","https://openalex.org/W2041132213","https://openalex.org/W2065525721","https://openalex.org/W2068283118","https://openalex.org/W2077931943","https://openalex.org/W2081265834","https://openalex.org/W2086394143","https://openalex.org/W2124315443","https://openalex.org/W2158543850","https://openalex.org/W2166248051","https://openalex.org/W2233534192","https://openalex.org/W2259250832","https://openalex.org/W2417476433","https://openalex.org/W2507402057","https://openalex.org/W2518160150","https://openalex.org/W2754632725","https://openalex.org/W2788382756","https://openalex.org/W2792721684","https://openalex.org/W2806250004","https://openalex.org/W2807615982","https://openalex.org/W2807652398","https://openalex.org/W2889272585","https://openalex.org/W2898647501","https://openalex.org/W2921270274","https://openalex.org/W2943695668","https://openalex.org/W2952011874","https://openalex.org/W2954550239","https://openalex.org/W2955357705","https://openalex.org/W2965235852","https://openalex.org/W2968300061","https://openalex.org/W2968908175","https://openalex.org/W2972109099","https://openalex.org/W2972575713","https://openalex.org/W2981026487","https://openalex.org/W2982663637","https://openalex.org/W2982961350","https://openalex.org/W2995392380","https://openalex.org/W2996398935","https://openalex.org/W3000019265","https://openalex.org/W3001167075","https://openalex.org/W3002801650","https://openalex.org/W3004114052","https://openalex.org/W3011787950","https://openalex.org/W3036512453","https://openalex.org/W3080746040","https://openalex.org/W3093475259","https://openalex.org/W3098290157","https://openalex.org/W3098663291","https://openalex.org/W3098929219","https://openalex.org/W3101402878","https://openalex.org/W3101596653","https://openalex.org/W3104985362","https://openalex.org/W3105299478","https://openalex.org/W3105514404","https://openalex.org/W3105943017","https://openalex.org/W3121032441","https://openalex.org/W4206688401","https://openalex.org/W4301279878","https://openalex.org/W6635521222","https://openalex.org/W6644795166","https://openalex.org/W6785982245","https://openalex.org/W6891725028"],"related_works":["https://openalex.org/W2010866598","https://openalex.org/W4306707509","https://openalex.org/W2047062626","https://openalex.org/W1977217926","https://openalex.org/W3206451018","https://openalex.org/W4327524493","https://openalex.org/W2090151112","https://openalex.org/W4246122464","https://openalex.org/W2997127250","https://openalex.org/W2487195786"],"abstract_inverted_index":{"We":[0,27,167],"review":[1],"the":[2,12,29,78,86,137,140,159,182,206],"emergence":[3],"of":[4,31,57,62,65,71,80,121,129,142,146,164,173,181,196,205],"hypergeometric":[5,42,171],"structures":[6],"(of":[7],"F4":[8],"Appell":[9,122],"functions)":[10],"from":[11],"conformal":[13,18,90,104],"Ward":[14],"identities":[15],"(CWIs)":[16],"in":[17,22,55,92,98,136,139,151,194,201,210],"field":[19],"theories":[20],"(CFTs)":[21],"dimensions":[23],"d":[24],"&gt;":[25],"2.":[26],"illustrate":[28],"case":[30,79],"scalar":[32,81,207],"3-":[33],"and":[34,184,199],"4-point":[35,82,208],"functions.":[36,76,188],"3-point":[37],"functions":[38,123,172],"are":[39,125],"associated":[40],"to":[41,88,186],"systems":[43],"with":[44],"four":[45],"independent":[46],"solutions.":[47,166],"For":[48],"symmetric":[49],"correlators,":[50],"they":[51],"can":[52,190],"be":[53,89,192],"expressed":[54],"terms":[56,195],"a":[58,68,113,118],"single":[59],"3K":[60,114],"integral\u2014functions":[61],"quadratic":[63],"ratios":[64,128],"momenta\u2014which":[66],"is":[67,109],"parametric":[69],"integral":[70,198],"three":[72],"modified":[73],"Bessel":[74],"K":[75],"In":[77],"functions,":[83],"by":[84,112],"requiring":[85],"correlator":[87],"invariant":[91],"coordinate":[93],"space":[94],"as":[95,97,117],"well":[96],"some":[99,170],"dual":[100,103],"variables":[101],"(i.e.,":[102],"invariant),":[105],"its":[106],"explicit":[107],"expression":[108],"also":[110,191],"given":[111],"integral,":[115],"or":[116],"linear":[119],"combination":[120],"which":[124,176],"now":[126],"quartic":[127],"momenta.":[130],"Similar":[131],"expressions":[132],"have":[133],"been":[134],"obtained":[135],"past":[138],"computation":[141],"an":[143,202],"infinite":[144],"class":[145],"planar":[147],"ladder":[148],"(Feynman)":[149],"diagrams":[150],"perturbation":[152],"theory,":[153],"which,":[154],"however,":[155],"do":[156],"not":[157],"share":[158],"same":[160],"(dual":[161],"conformal/conformal)":[162],"symmetry":[163],"our":[165],"then":[168],"discuss":[169],"3":[174],"variables,":[175],"define":[177],"8":[178],"particular":[179],"solutions":[180],"CWIs":[183],"correspond":[185],"Lauricella":[187],"They":[189],"combined":[193],"4K":[197],"appear":[200],"asymptotic":[203],"description":[204],"function,":[209],"special":[211],"kinematical":[212],"limits.":[213]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-05-21T00:00:00"}
