{"id":"https://openalex.org/W7223244167","doi":"https://doi.org/10.48550/arxiv.2610.28888","title":"\"Massive\" Conformal Field Theories and application to Nambu-Goto string","display_name":"\"Massive\" Conformal Field Theories and application to Nambu-Goto string","publication_year":2026,"publication_date":"2026-10-20","ids":{"openalex":"https://openalex.org/W7223244167","doi":"https://doi.org/10.48550/arxiv.2610.28888"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.28888","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28888","pdf_url":"https://arxiv.org/pdf/2610.28888","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.28888","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159290664","display_name":"Yuri Makeenko","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2800235667","display_name":"Kurchatov Institute","ror":"https://ror.org/00n1nz186","country_code":"RU","type":"facility","lineage":["https://openalex.org/I2800235667"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Makeenko, Yuri","raw_affiliation_strings":["NRC \"Kurchatov Institute\"-ITEP , Moscow"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NRC \"Kurchatov Institute\"-ITEP , Moscow","institution_ids":["https://openalex.org/I2800235667"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5159290664"],"corresponding_institution_ids":["https://openalex.org/I2800235667"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9932000041007996,"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":0.9932000041007996,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.006000000052154064,"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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nambu-goto-string","display_name":"Nambu-Goto string","score":0.921999990940094},{"id":"https://openalex.org/keywords/polyakov-string","display_name":"Polyakov string","score":0.9300000071525574},{"id":"https://openalex.org/keywords/liouville-theory","display_name":"Liouville theory","score":0.9580000042915344},{"id":"https://openalex.org/keywords/traceless-energy-momentum-tensor","display_name":"traceless energy-momentum tensor","score":0.878000020980835},{"id":"https://openalex.org/keywords/diffeomorphism-invariance","display_name":"diffeomorphism invariance","score":0.9300000071525574},{"id":"https://openalex.org/keywords/two-dimensional-field-theory","display_name":"two-dimensional field theory","score":0.6190000176429749},{"id":"https://openalex.org/keywords/unitary-minimal-models","display_name":"unitary minimal models","score":0.718999981880188},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.6539999842643738},{"id":"https://openalex.org/keywords/string-theory","display_name":"string theory","score":0.33899998664855957}],"concepts":[{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.6295999884605408},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.590499997138977},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.5462999939918518},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5159000158309937},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.5152000188827515},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.5116000175476074},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.49140000343322754},{"id":"https://openalex.org/C156341967","wikidata":"https://www.wikidata.org/wiki/Q7048887","display_name":"Non-critical string theory","level":3,"score":0.48500001430511475},{"id":"https://openalex.org/C15760308","wikidata":"https://www.wikidata.org/wiki/Q1051921","display_name":"String field theory","level":3,"score":0.4699000120162964},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.4699000120162964},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4489000141620636},{"id":"https://openalex.org/C191837563","wikidata":"https://www.wikidata.org/wiki/Q279029","display_name":"String cosmology","level":5,"score":0.4480000138282776},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.4372999966144562},{"id":"https://openalex.org/C49987212","wikidata":"https://www.wikidata.org/wiki/Q33198","display_name":"String theory","level":2,"score":0.4348999857902527},{"id":"https://openalex.org/C23409769","wikidata":"https://www.wikidata.org/wiki/Q7310750","display_name":"Relationship between string theory and quantum field theory","level":4,"score":0.42559999227523804},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4077000021934509},{"id":"https://openalex.org/C20167640","wikidata":"https://www.wikidata.org/wiki/Q5160243","display_name":"Conformal anomaly","level":4,"score":0.40139999985694885},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.3952000141143799},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3783000111579895},{"id":"https://openalex.org/C33402499","wikidata":"https://www.wikidata.org/wiki/Q232184","display_name":"M-theory","level":4,"score":0.3698999881744385},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.36419999599456787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3553999960422516},{"id":"https://openalex.org/C42845850","wikidata":"https://www.wikidata.org/wiki/Q15427360","display_name":"String phenomenology","level":5,"score":0.3138999938964844},{"id":"https://openalex.org/C96732373","wikidata":"https://www.wikidata.org/wiki/Q1140761","display_name":"Heterotic string theory","level":2,"score":0.3068999946117401},{"id":"https://openalex.org/C173848574","wikidata":"https://www.wikidata.org/wiki/Q3507963","display_name":"Conformal symmetry","level":3,"score":0.29980000853538513},{"id":"https://openalex.org/C103631654","wikidata":"https://www.wikidata.org/wiki/Q14942749","display_name":"N = 4 supersymmetric Yang\u2013Mills theory","level":5,"score":0.2994000017642975},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2948000133037567},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.2856000065803528},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.2824000120162964},{"id":"https://openalex.org/C31740323","wikidata":"https://www.wikidata.org/wiki/Q1202882","display_name":"Bosonic string theory","level":5,"score":0.2777999937534332},{"id":"https://openalex.org/C2779165322","wikidata":"https://www.wikidata.org/wiki/Q546145","display_name":"Compactification (mathematics)","level":2,"score":0.26510000228881836},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C28358794","wikidata":"https://www.wikidata.org/wiki/Q4949964","display_name":"Boundary conformal field theory","level":5,"score":0.2581000030040741}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.28888","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28888","pdf_url":"https://arxiv.org/pdf/2610.28888","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.28888","doi":"https://doi.org/10.48550/arxiv.2610.28888","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.28888","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.28888","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28888","pdf_url":"https://arxiv.org/pdf/2610.28888","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223244167.pdf","grobid_xml":"https://content.openalex.org/works/W7223244167.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2047051608","https://openalex.org/W2225507313","https://openalex.org/W4317399546","https://openalex.org/W4317636914","https://openalex.org/W4386511797","https://openalex.org/W4386791849","https://openalex.org/W4403749106"],"related_works":["https://openalex.org/W4403749106","https://openalex.org/W4317399546","https://openalex.org/W2949045517","https://openalex.org/W1999568544","https://openalex.org/W4386511797","https://openalex.org/W2286146976","https://openalex.org/W7064845944","https://openalex.org/W4317636914","https://openalex.org/W2024322919","https://openalex.org/W2069264975"],"abstract_inverted_index":{"I":[0],"describe":[1],"the":[2,31,35,41,47,64,70],"recent":[3],"progress":[4],"in":[5,55,61,82],"understanding":[6],"diffeomorphism":[7],"invariant":[8],"two-dimensional":[9],"theories":[10],"with":[11,34],"dimensionful":[12],"parameters":[13],"which":[14],"have":[15],"nevertheless":[16],"traceless":[17],"improved":[18],"energy-momentum":[19],"tensor":[20],"and":[21,44,49,67,86],"turn":[22],"out":[23],"to":[24,63],"be":[25],"conformal":[26],"invariant.":[27],"An":[28],"example":[29],"is":[30,59],"Liouville":[32],"theory":[33],"additional":[36],"four-derivative":[37],"terms":[38],"arising":[39],"from":[40],"Nambu-Goto":[42,48],"string":[43,66],"telling":[45],"apart":[46],"Polyakov":[50,65],"strings.":[51],"Its":[52],"exact":[53],"solution":[54],"embedding":[56],"dimension":[57],"d=4":[58],"consistent":[60],"contrast":[62],"described":[68],"by":[69],"(4,3)":[71],"unitary":[72],"minimal":[73],"model.":[74],"Talk":[75],"at":[76],"Irina":[77],"Aref'eva":[78],"Conference":[79],"\"Perspective":[80],"Directions":[81],"Quantum":[83],"Field":[84],"Theory":[85],"Superstrings\",":[87],"Moscow":[88],"12-17":[89],"October":[90],"2026.":[91]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-23T00:00:00"}
