{"id":"https://openalex.org/W2176969403","doi":"https://doi.org/10.1007/jhep01(2016)162","title":"Universal entanglement and boundary geometry in conformal field theory","display_name":"Universal entanglement and boundary geometry in conformal field theory","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2176969403","doi":"https://doi.org/10.1007/jhep01(2016)162","mag":"2176969403"},"language":"en","primary_location":{"id":"doi:10.1007/jhep01(2016)162","doi":"https://doi.org/10.1007/jhep01(2016)162","is_oa":true,"landing_page_url":"https://doi.org/10.1007/jhep01(2016)162","pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP01(2016)162.pdf","source":{"id":"https://openalex.org/S187585107","display_name":"Journal of High Energy Physics","issn_l":"1029-8479","issn":["1029-8479","1126-6708","1127-2236"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-a","jufo-3","ki-jl-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of High Energy Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://link.springer.com/content/pdf/10.1007/JHEP01(2016)162.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017722563","display_name":"Christopher P. Herzog","orcid":"https://orcid.org/0000-0002-2730-7227","observed_orcids":["https://orcid.org/0000-0002-2730-7227"]},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christopher P. Herzog","raw_affiliation_strings":["C.N. Yang Institute for Theoretical Physics, Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY, 11794, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"C.N. Yang Institute for Theoretical Physics, Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY, 11794, U.S.A","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016560444","display_name":"Kuo-Wei Huang","orcid":"https://orcid.org/0000-0002-8409-9460","observed_orcids":["https://orcid.org/0000-0002-8409-9460"]},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kuo-Wei Huang","raw_affiliation_strings":["C.N. Yang Institute for Theoretical Physics, Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY, 11794, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"C.N. Yang Institute for Theoretical Physics, Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY, 11794, U.S.A","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008523723","display_name":"Kristan Jensen","orcid":"https://orcid.org/0000-0002-5864-6416","observed_orcids":["https://orcid.org/0000-0002-5864-6416"]},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kristan Jensen","raw_affiliation_strings":["C.N. Yang Institute for Theoretical Physics, Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY, 11794, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"C.N. Yang Institute for Theoretical Physics, Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY, 11794, U.S.A","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017722563"],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":4.95,"has_fulltext":true,"cited_by_count":97,"citation_normalized_percentile":{"value":0.95661799,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"2016","issue":"1","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":0.9955999851226807,"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":0.9955999851226807,"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/T11804","display_name":"Quantum many-body systems","score":0.0017999999690800905,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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":0.0005000000237487257,"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/entanglement-entropy","display_name":"entanglement entropy","score":0.8870000243186951},{"id":"https://openalex.org/keywords/conformal-field-theory","display_name":"conformal field theory","score":0.9190000295639038},{"id":"https://openalex.org/keywords/trace-anomaly","display_name":"trace anomaly","score":0.800000011920929},{"id":"https://openalex.org/keywords/boundary-terms","display_name":"boundary terms","score":0.878000020980835},{"id":"https://openalex.org/keywords/wess-zumino-term","display_name":"Wess-Zumino term","score":0.9919999837875366},{"id":"https://openalex.org/keywords/boundary-geometry","display_name":"boundary geometry","score":0.5479999780654907}],"concepts":[{"id":"https://openalex.org/C28358794","wikidata":"https://www.wikidata.org/wiki/Q4949964","display_name":"Boundary conformal field theory","level":5,"score":0.7781918048858643},{"id":"https://openalex.org/C20167640","wikidata":"https://www.wikidata.org/wiki/Q5160243","display_name":"Conformal anomaly","level":4,"score":0.7220562100410461},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7193284034729004},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6726954579353333},{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.6286748051643372},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.6093132495880127},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.5958005785942078},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5299043655395508},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.5148741006851196},{"id":"https://openalex.org/C12997251","wikidata":"https://www.wikidata.org/wiki/Q567560","display_name":"Anomaly (physics)","level":2,"score":0.47618284821510315},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4174920320510864},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.41510236263275146},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.4019218683242798},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.38443902134895325},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.36666303873062134},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33345913887023926},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.31991201639175415},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29084140062332153},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19594648480415344},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.18640118837356567},{"id":"https://openalex.org/C108257041","wikidata":"https://www.wikidata.org/wiki/Q748993","display_name":"Robin boundary condition","level":4,"score":0.12113213539123535},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/jhep01(2016)162","doi":"https://doi.org/10.1007/jhep01(2016)162","is_oa":true,"landing_page_url":"https://doi.org/10.1007/jhep01(2016)162","pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP01(2016)162.pdf","source":{"id":"https://openalex.org/S187585107","display_name":"Journal of High Energy Physics","issn_l":"1029-8479","issn":["1029-8479","1126-6708","1127-2236"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-a","jufo-3","ki-jl-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of High Energy Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1510.00021","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.00021","pdf_url":"https://arxiv.org/pdf/1510.00021","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":"pmh:oai:kclpure.kcl.ac.uk:openaire/22559e0a-4166-4ed4-a1b6-b9a6b309c9e6","doi":null,"is_oa":true,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/22559e0a-4166-4ed4-a1b6-b9a6b309c9e6","pdf_url":null,"source":{"id":"https://openalex.org/S4306400216","display_name":"Research Portal (King's College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I183935753","host_organization_name":"King's College London","host_organization_lineage":["https://openalex.org/I183935753"],"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":"Herzog, C P, Huang, K-W & Jensen, K 2016, 'Universal entanglement and boundary geometry in conformal field theory', Journal of High Energy Physics. https://doi.org/10.1007/JHEP01(2016)162","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1510.00021","doi":"https://doi.org/10.48550/arxiv.1510.00021","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1510.00021","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":"article-journal"}],"best_oa_location":{"id":"doi:10.1007/jhep01(2016)162","doi":"https://doi.org/10.1007/jhep01(2016)162","is_oa":true,"landing_page_url":"https://doi.org/10.1007/jhep01(2016)162","pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP01(2016)162.pdf","source":{"id":"https://openalex.org/S187585107","display_name":"Journal of High Energy Physics","issn_l":"1029-8479","issn":["1029-8479","1126-6708","1127-2236"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-a","jufo-3","ki-jl-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of High Energy Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2253634949","display_name":"Theoretical Physics","funder_award_id":"1316617","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2176969403.pdf","grobid_xml":"https://content.openalex.org/works/W2176969403.grobid-xml"},"referenced_works_count":68,"referenced_works":["https://openalex.org/W1451104134","https://openalex.org/W1493836009","https://openalex.org/W1500307940","https://openalex.org/W1544061985","https://openalex.org/W1565112435","https://openalex.org/W1964419676","https://openalex.org/W1965626175","https://openalex.org/W1967407988","https://openalex.org/W1970479743","https://openalex.org/W1971835751","https://openalex.org/W1972807098","https://openalex.org/W1973484367","https://openalex.org/W1974041729","https://openalex.org/W1979170283","https://openalex.org/W1990516747","https://openalex.org/W1990683114","https://openalex.org/W1995280289","https://openalex.org/W1999252967","https://openalex.org/W2002501550","https://openalex.org/W2002656889","https://openalex.org/W2006883398","https://openalex.org/W2007408519","https://openalex.org/W2007634753","https://openalex.org/W2010306142","https://openalex.org/W2018603564","https://openalex.org/W2027957757","https://openalex.org/W2032269342","https://openalex.org/W2043348687","https://openalex.org/W2044657755","https://openalex.org/W2045434548","https://openalex.org/W2047124882","https://openalex.org/W2048265997","https://openalex.org/W2048507760","https://openalex.org/W2051086627","https://openalex.org/W2051591291","https://openalex.org/W2053170335","https://openalex.org/W2053230806","https://openalex.org/W2053387157","https://openalex.org/W2064309555","https://openalex.org/W2068004405","https://openalex.org/W2069651257","https://openalex.org/W2069840277","https://openalex.org/W2073030628","https://openalex.org/W2088127916","https://openalex.org/W2093947937","https://openalex.org/W2111145493","https://openalex.org/W2120998799","https://openalex.org/W2123896546","https://openalex.org/W2126209209","https://openalex.org/W2134817098","https://openalex.org/W2137029690","https://openalex.org/W2137060839","https://openalex.org/W2139275006","https://openalex.org/W2144835516","https://openalex.org/W2146203925","https://openalex.org/W2159538982","https://openalex.org/W2164351285","https://openalex.org/W2169915819","https://openalex.org/W2198040664","https://openalex.org/W2208225931","https://openalex.org/W2577281216","https://openalex.org/W2810339891","https://openalex.org/W2950834636","https://openalex.org/W3098182124","https://openalex.org/W3104351478","https://openalex.org/W3104880162","https://openalex.org/W3105094871","https://openalex.org/W3216958049"],"related_works":["https://openalex.org/W6998543065","https://openalex.org/W2139275006","https://openalex.org/W2260505210","https://openalex.org/W2001528655","https://openalex.org/W2102828506","https://openalex.org/W1493836009","https://openalex.org/W1989017077","https://openalex.org/W2043348687","https://openalex.org/W2952329627","https://openalex.org/W2338565247"],"abstract_inverted_index":{"Employing":[0],"a":[1,8,22,41,70,75],"conformal":[2,26],"map":[3],"to":[4,15,31,90],"hyperbolic":[5],"space":[6],"cross":[7],"circle,":[9],"we":[10,57,80],"compute":[11],"the":[12,16,33,46,51,60,64,86,91,95,117],"universal":[13,61],"contribution":[14,89],"vacuum":[17],"entanglement":[18],"entropy":[19],"(EE)":[20],"across":[21],"sphere":[23],"in":[24,35,50,116],"even-dimensional":[25],"field":[27],"theory.":[28],"Previous":[29],"attempts":[30],"derive":[32,81],"EE":[34,65],"this":[36,55],"way":[37],"were":[38],"hindered":[39],"by":[40],"lack":[42],"of":[43,45,63,77],"knowledge":[44],"appropriate":[47],"boundary":[48,72,100,109],"terms":[49,110],"trace":[52,96],"anomaly.":[53],"In":[54,102],"paper":[56],"show":[58],"that":[59],"part":[62],"can":[66],"be":[67],"treated":[68],"as":[69],"purely":[71],"effect.":[73],"As":[74],"byproduct":[76],"our":[78],"computation,":[79],"an":[82],"explicit":[83],"form":[84],"for":[85,94],"A-type":[87],"anomaly":[88],"Wess-Zumino":[92],"term":[93],"anomaly,":[97],"now":[98],"including":[99],"terms.":[101],"d":[103],"=":[104],"4":[105],"and":[106],"6,":[107],"these":[108],"generalize":[111],"earlier":[112],"bulk":[113],"actions":[114],"derived":[115],"literature.":[118]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}
