{"id":"https://openalex.org/W7222974263","doi":"https://doi.org/10.48550/arxiv.2610.23580","title":"Holographic two-point functions across a PT symmetry-breaking transition","display_name":"Holographic two-point functions across a PT symmetry-breaking transition","publication_year":2026,"publication_date":"2026-10-16","ids":{"openalex":"https://openalex.org/W7222974263","doi":"https://doi.org/10.48550/arxiv.2610.23580"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.23580","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23580","pdf_url":"https://arxiv.org/pdf/2610.23580","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/2610.23580","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159036660","display_name":"Zuo Wang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Zuo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5159073777","display_name":"Liang He","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"He, Liang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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":0.9663000106811523,"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":0.9663000106811523,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.018200000748038292,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.0010999999940395355,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pt-symmetry","display_name":"PT symmetry","score":0.8539999723434448},{"id":"https://openalex.org/keywords/exceptional-points","display_name":"exceptional points","score":0.6299999952316284},{"id":"https://openalex.org/keywords/non-hermitian-systems","display_name":"non-Hermitian systems","score":0.8479999899864197},{"id":"https://openalex.org/keywords/logarithmic-conformal-field-theory","display_name":"logarithmic conformal field theory","score":0.9539999961853027},{"id":"https://openalex.org/keywords/two-point-functions","display_name":"two-point functions","score":0.878000020980835},{"id":"https://openalex.org/keywords/log-periodic-oscillations","display_name":"log-periodic oscillations","score":0.8960000276565552},{"id":"https://openalex.org/keywords/scaling-dimensions","display_name":"scaling dimensions","score":0.6259999871253967},{"id":"https://openalex.org/keywords/conformal-ward-identities","display_name":"conformal Ward identities","score":0.8199999928474426},{"id":"https://openalex.org/keywords/quasinormal-modes","display_name":"quasinormal modes","score":0.7760000228881836},{"id":"https://openalex.org/keywords/btz-black-hole","display_name":"BTZ black hole","score":0.9890000224113464},{"id":"https://openalex.org/keywords/linear-response","display_name":"linear response","score":0.6850000023841858}],"concepts":[{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7688999772071838},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6312000155448914},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6075999736785889},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6043000221252441},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.560699999332428},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.5464000105857849},{"id":"https://openalex.org/C187590223","wikidata":"https://www.wikidata.org/wiki/Q527628","display_name":"Holography","level":2,"score":0.4708999991416931},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.45410001277923584},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.44620001316070557},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.40939998626708984},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.4065000116825104},{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.3662000000476837},{"id":"https://openalex.org/C173523689","wikidata":"https://www.wikidata.org/wiki/Q215589","display_name":"Dipole","level":2,"score":0.36070001125335693},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33309999108314514},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32919999957084656},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.322299987077713},{"id":"https://openalex.org/C24084028","wikidata":"https://www.wikidata.org/wiki/Q7429781","display_name":"Scaling limit","level":3,"score":0.29809999465942383},{"id":"https://openalex.org/C2780870619","wikidata":"https://www.wikidata.org/wiki/Q48937708","display_name":"Quasinormal mode","level":3,"score":0.29760000109672546},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2928999960422516},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.28279998898506165},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2750000059604645},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2680000066757202},{"id":"https://openalex.org/C32758168","wikidata":"https://www.wikidata.org/wiki/Q900488","display_name":"Normal mode","level":3,"score":0.2612000107765198},{"id":"https://openalex.org/C175724006","wikidata":"https://www.wikidata.org/wiki/Q4769942","display_name":"Scaling dimension","level":3,"score":0.2583000063896179},{"id":"https://openalex.org/C173848574","wikidata":"https://www.wikidata.org/wiki/Q3507963","display_name":"Conformal symmetry","level":3,"score":0.2563999891281128},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.25609999895095825},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.2549999952316284}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.23580","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23580","pdf_url":"https://arxiv.org/pdf/2610.23580","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.2610.23580","doi":"https://doi.org/10.48550/arxiv.2610.23580","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.23580","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:2610.23580","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23580","pdf_url":"https://arxiv.org/pdf/2610.23580","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":[{"id":"https://openalex.org/G1271196239","display_name":null,"funder_award_id":"12275089","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6948146670","display_name":null,"funder_award_id":"2022YFA1405304","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7222974263.pdf","grobid_xml":"https://content.openalex.org/works/W7222974263.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1889142700","https://openalex.org/W1971615006","https://openalex.org/W1981397446","https://openalex.org/W2025492397","https://openalex.org/W2039609754","https://openalex.org/W2050253754","https://openalex.org/W2060897110","https://openalex.org/W2061221918","https://openalex.org/W2079116251","https://openalex.org/W2080854760","https://openalex.org/W2101459427","https://openalex.org/W2153274301","https://openalex.org/W2166248051","https://openalex.org/W2739884744","https://openalex.org/W4206688401","https://openalex.org/W6948336673"],"related_works":["https://openalex.org/W4404992431","https://openalex.org/W4405848755","https://openalex.org/W4415881591","https://openalex.org/W6976726997","https://openalex.org/W7165114873","https://openalex.org/W7164178847","https://openalex.org/W7139922731","https://openalex.org/W2475550128","https://openalex.org/W2280575394","https://openalex.org/W2901751154"],"abstract_inverted_index":{"In":[0,21,140,160],"parity-time":[1],"(PT)-symmetric":[2],"non-Hermitian":[3],"systems,":[4],"an":[5,28],"exceptional":[6,29,106,206],"point,":[7,107],"where":[8],"eigenvalues":[9],"and":[10,149,157],"eigenvectors":[11],"coalesce,":[12],"typically":[13],"separates":[14],"a":[15,74,90,145],"real":[16,71,119,148,186],"spectrum":[17,34],"from":[18,89,181,197],"complex-conjugate":[19,75,150],"eigenvalues.":[20],"logarithmic":[22,99],"conformal":[23,124],"field":[24],"theories":[25,142],"(LCFTs),":[26],"such":[27,42,144],"point":[30],"appears":[31],"in":[32,83],"the":[33,44,56,79,98,102,105,123,136,155,161,168,171,176,188,193,205],"of":[35,40,93,101,114],"scaling":[36,65,151,178],"dimensions.":[37],"Holographic":[38],"models":[39],"LCFTs,":[41],"as":[43],"dipole":[45,58],"model,":[46],"are":[47],"built":[48],"exactly":[49],"at":[50,104,165,204],"this":[51,128],"point.":[52,207],"Here,":[53],"we":[54],"deform":[55],"holographic":[57,137],"model":[59],"so":[60],"that":[61],"its":[62],"two":[63,70,94,132,177],"coalescing":[64],"dimensions":[66,152,179],"split":[67],"into":[68],"either":[69],"ones":[72],"or":[73],"pair.":[76],"We":[77],"obtain":[78],"renormalized":[80],"two-point":[81],"functions":[82],"closed":[84],"form.":[85],"They":[86],"change":[87],"continuously":[88],"linear":[91,194],"combination":[92],"power":[95],"laws,":[96],"through":[97],"form":[100,129],"LCFT":[103],"to":[108,131,154,184,199],"log-periodic":[109],"oscillations.":[110],"For":[111],"any":[112],"pair":[113],"scalar":[115],"primary":[116],"operators":[117],"with":[118,143,175,201],"mixing":[120],"under":[121],"dilatations,":[122],"Ward":[125],"identities":[126],"fix":[127],"up":[130],"normalization":[133],"constants,":[134],"which":[135],"dictionary":[138],"determines.":[139],"PT-symmetric":[141],"dilatation":[146],"operator,":[147],"correspond":[153],"PT-unbroken":[156],"PT-broken":[158],"phases.":[159],"BTZ":[162],"black":[163],"hole":[164],"finite":[166],"temperature,":[167],"difference":[169],"between":[170],"quasinormal":[172],"frequencies":[173],"associated":[174],"changes":[180,196],"purely":[182,185],"imaginary":[183],"across":[187],"real-to-complex":[189],"spectral":[190],"transition.":[191],"Correspondingly,":[192],"response":[195],"overdamped":[198],"underdamped,":[200],"critical":[202],"damping":[203]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-20T00:00:00"}