{"id":"https://openalex.org/W7213270130","doi":"https://doi.org/10.48550/arxiv.2609.13163","title":"The Fuzzy-Sphere as a Black Hole in the IKKT Matrix Model: An Assessment","display_name":"The Fuzzy-Sphere as a Black Hole in the IKKT Matrix Model: An Assessment","publication_year":2026,"publication_date":"2026-07-20","ids":{"openalex":"https://openalex.org/W7213270130","doi":"https://doi.org/10.48550/arxiv.2609.13163"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.13163","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.13163","pdf_url":"https://arxiv.org/pdf/2609.13163","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/2609.13163","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025368454","display_name":"Koichiro Matsumoto","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210137096","display_name":"Musashi Junior and Senior High School","ror":"https://ror.org/04csbgr97","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210137096"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Matsumoto, Koichiro","raw_affiliation_strings":[") Musashi High School and Junior High School Nerima , Tokyo 176-8535 , Japan",") Waseda Junior and Senior High School Shinjuku , Tokyo 162-8654 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":") Musashi High School and Junior High School Nerima , Tokyo 176-8535 , Japan","institution_ids":["https://openalex.org/I4210137096"]},{"raw_affiliation_string":") Waseda Junior and Senior High School Shinjuku , Tokyo 162-8654 , Japan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025368454"],"corresponding_institution_ids":["https://openalex.org/I4210137096"],"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":0.9653000235557556,"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":0.9653000235557556,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.031599998474121094,"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/T11716","display_name":"Random Matrices and Applications","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/fuzzy-sphere","display_name":"fuzzy sphere","score":0.7689999938011169},{"id":"https://openalex.org/keywords/ikkt-matrix-model","display_name":"IKKT matrix model","score":0.9919999837875366},{"id":"https://openalex.org/keywords/black-hole-thermodynamics","display_name":"black hole thermodynamics","score":0.7919999957084656},{"id":"https://openalex.org/keywords/hawking-temperature","display_name":"Hawking temperature","score":0.7590000033378601},{"id":"https://openalex.org/keywords/heat-capacity","display_name":"heat capacity","score":0.8460000157356262},{"id":"https://openalex.org/keywords/large-nc-limit","display_name":"large Nc limit","score":0.5920000076293945},{"id":"https://openalex.org/keywords/bfss-matrix-model","display_name":"BFSS matrix model","score":0.7129999995231628}],"concepts":[{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7210999727249146},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6029000282287598},{"id":"https://openalex.org/C60205243","wikidata":"https://www.wikidata.org/wiki/Q179388","display_name":"Heat capacity","level":2,"score":0.5360000133514404},{"id":"https://openalex.org/C50341732","wikidata":"https://www.wikidata.org/wiki/Q880302","display_name":"Black hole (networking)","level":5,"score":0.5307999849319458},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.522599995136261},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4812999963760376},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.46380001306533813},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41999998688697815},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.41850000619888306},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.37209999561309814},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.35420000553131104},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.3400999903678894},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.33399999141693115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32269999384880066},{"id":"https://openalex.org/C63745668","wikidata":"https://www.wikidata.org/wiki/Q911284","display_name":"Black hole thermodynamics","level":3,"score":0.2985000014305115},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.29339998960494995},{"id":"https://openalex.org/C2986087423","wikidata":"https://www.wikidata.org/wiki/Q487756","display_name":"Specific heat","level":2,"score":0.2903999984264374},{"id":"https://openalex.org/C59087194","wikidata":"https://www.wikidata.org/wiki/Q1471710","display_name":"Black hole information paradox","level":5,"score":0.2849999964237213},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2793999910354614},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.26660001277923584},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.25369998812675476},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2533000111579895},{"id":"https://openalex.org/C151130387","wikidata":"https://www.wikidata.org/wiki/Q1758384","display_name":"Surface gravity","level":3,"score":0.2506999969482422}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.13163","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.13163","pdf_url":"https://arxiv.org/pdf/2609.13163","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.2609.13163","doi":"https://doi.org/10.48550/arxiv.2609.13163","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.13163","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:2609.13163","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.13163","pdf_url":"https://arxiv.org/pdf/2609.13163","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":[{"id":"https://openalex.org/F4320324045","display_name":"High Energy Accelerator Research Organization","ror":"https://ror.org/01g5y5k24"},{"id":"https://openalex.org/F4320326625","display_name":"Yukawa Institute for Theoretical Physics, Kyoto University","ror":"https://ror.org/0589kgd85"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213270130.pdf","grobid_xml":"https://content.openalex.org/works/W7213270130.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1640587145","https://openalex.org/W1749699446","https://openalex.org/W1968764606","https://openalex.org/W1977635633","https://openalex.org/W1991564354","https://openalex.org/W2004362734","https://openalex.org/W2006457784","https://openalex.org/W2011945934","https://openalex.org/W2015548884","https://openalex.org/W2029867693","https://openalex.org/W2039617454","https://openalex.org/W2050867305","https://openalex.org/W2058433833","https://openalex.org/W2060299413","https://openalex.org/W2068418260","https://openalex.org/W2073099708","https://openalex.org/W2075097647","https://openalex.org/W2079862888","https://openalex.org/W2081974578","https://openalex.org/W2084007806","https://openalex.org/W2085535356","https://openalex.org/W2086494861","https://openalex.org/W2102318313","https://openalex.org/W2115726538","https://openalex.org/W2117709364","https://openalex.org/W2130491267","https://openalex.org/W2149456513","https://openalex.org/W2162284105","https://openalex.org/W2166248051","https://openalex.org/W2289370935","https://openalex.org/W2784885380","https://openalex.org/W2897128760","https://openalex.org/W3005939658","https://openalex.org/W4323924632","https://openalex.org/W4377041618","https://openalex.org/W4388894221","https://openalex.org/W4405029472","https://openalex.org/W4408251947","https://openalex.org/W4415243407","https://openalex.org/W4416977945","https://openalex.org/W7165895667","https://openalex.org/W7170035796"],"related_works":["https://openalex.org/W4388894221","https://openalex.org/W6989343021","https://openalex.org/W2066644850","https://openalex.org/W4253286050","https://openalex.org/W7098553647","https://openalex.org/W2028466515","https://openalex.org/W3101847755","https://openalex.org/W7095636742","https://openalex.org/W2065468203","https://openalex.org/W7095440419"],"abstract_inverted_index":{"Black-hole":[0],"thermodynamics":[1,47],"has":[2,24],"been":[3],"reproduced":[4],"with":[5],"remarkable":[6],"success":[7],"from":[8],"the":[9,14,18,44,66,73,92,101,110,122,128,181,188,205],"BFSS":[10],"matrix":[11,22,208],"model,":[12,209],"but":[13,167],"corresponding":[15],"test":[16,139],"in":[17,194],"closely":[19],"related":[20],"IKKT":[21,207],"model":[23],"awaited":[25],"its":[26],"recently":[27],"proposed":[28],"finite-temperature":[29,206],"formulation,":[30],"within":[31],"which":[32,217],"we":[33,42],"investigate":[34],"this":[35,85],"correspondence.":[36],"Introducing":[37],"a":[38,59,116,141,153,158,201,213],"cubic":[39],"Myers":[40,90],"term,":[41],"compute":[43],"complete":[45],"one-loop":[46],"--":[48,57,151,156],"free":[49],"energy,":[50,52],"internal":[51],"entropy,":[53],"and":[54,63,68,131,157,221],"heat":[55,159],"capacity":[56,160],"of":[58,105,124,140,174,190,204],"fuzzy":[60],"$S^2$":[61],"background,":[62],"compare":[64],"against":[65,216],"D0":[67],"D2":[69],"black":[70,107],"holes":[71],"as":[72],"closest":[74],"available":[75],"reference":[76],"points,":[77],"since":[78],"no":[79,147],"gravitational":[80,183],"dual":[81,184],"is":[82,132,162],"known":[83],"for":[84],"specific":[86],"background.":[87],"At":[88],"fixed":[89,113],"coupling,":[91],"leading":[93],"entropy":[94],"exhibits":[95],"an":[96,137,175],"$O(N^3)$":[97],"scaling":[98,196],"rather":[99,185],"than":[100,186,199],"$O(N^2)$":[102,118],"behavior":[103],"characteristic":[104,154],"conventional":[106],"holes.":[108],"Holding":[109],"physical":[111],"radius":[112],"instead":[114],"yields":[115],"genuine":[117],"scaling,":[119],"showing":[120],"that":[121,161],"power":[123],"$N$":[125],"depends":[126],"on":[127],"large-$N$":[129,191],"prescription":[130],"therefore":[133],"not":[134],"by":[135],"itself":[136],"unambiguous":[138],"black-hole":[142,202],"interpretation.":[143],"We":[144],"further":[145],"find":[146],"intrinsic":[148,176],"Hawking":[149,177],"temperature":[150,166],"only":[152],"scale":[155],"negative":[163],"at":[164,169],"low":[165],"positive":[168],"high":[170],"temperature.":[171],"The":[172],"absence":[173],"temperature,":[178],"tied":[179],"to":[180,187],"missing":[182],"choice":[189],"prescription,":[192],"persists":[193],"either":[195],"limit.":[197],"Rather":[198],"establishing":[200],"interpretation":[203],"these":[210],"results":[211],"provide":[212],"quantitative":[214],"benchmark":[215],"future":[218],"analytical,":[219],"numerical,":[220],"holographic":[222],"investigations":[223],"can":[224],"be":[225],"tested.":[226]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-16T00:00:00"}