{"id":"https://openalex.org/W7223297985","doi":"https://doi.org/10.48550/arxiv.2610.30862","title":"Inverse KLT kernel of AdS string integrals from the intersection matrix","display_name":"Inverse KLT kernel of AdS string integrals from the intersection matrix","publication_year":2026,"publication_date":"2026-10-22","ids":{"openalex":"https://openalex.org/W7223297985","doi":"https://doi.org/10.48550/arxiv.2610.30862"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.30862","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30862","pdf_url":"https://arxiv.org/pdf/2610.30862","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/2610.30862","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063964894","display_name":"Yi-Xiao Tao","orcid":"https://orcid.org/0000-0002-6366-9540","observed_orcids":["https://orcid.org/0000-0002-6366-9540"]},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN","RU"],"is_corresponding":false,"raw_author_name":"Tao, Yi-Xiao","raw_affiliation_strings":["Department of Mathematical Sciences , Tsinghua University , Beijing 100084 , China","Institute for Theoretical and Mathematical Physics , Lomonosov Moscow State University , Moscow 119991 , Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences , Tsinghua University , Beijing 100084 , China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Institute for Theoretical and Mathematical Physics , Lomonosov Moscow State University , Moscow 119991 , Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159314547","display_name":"Shijie Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang, Shijie","raw_affiliation_strings":["Center for Fundamental Physics , School of Physical Science and Technology , ShanghaiTech University , 393 Middle Huaxia Road , Shanghai 201210 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Fundamental Physics , School of Physical Science and Technology , ShanghaiTech University , 393 Middle Huaxia Road , Shanghai 201210 , China","institution_ids":["https://openalex.org/I30809798"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"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":0.926800012588501,"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":0.926800012588501,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.04010000079870224,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.013799999840557575,"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/kawai-lewellen-tye-relations","display_name":"Kawai-Lewellen-Tye relations","score":0.9639999866485596},{"id":"https://openalex.org/keywords/intersection-matrix","display_name":"intersection matrix","score":0.9599999785423279},{"id":"https://openalex.org/keywords/knizhnik-zamolodchikov-equations","display_name":"Knizhnik-Zamolodchikov equations","score":0.9670000076293945},{"id":"https://openalex.org/keywords/drinfeld-associator","display_name":"Drinfeld associator","score":0.7770000100135803},{"id":"https://openalex.org/keywords/multiple-polylogarithms","display_name":"multiple polylogarithms","score":0.8550000190734863},{"id":"https://openalex.org/keywords/local-monodromy","display_name":"local monodromy","score":0.7609999775886536},{"id":"https://openalex.org/keywords/field-theory-limit","display_name":"field theory limit","score":0.6710000038146973}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7858999967575073},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7577999830245972},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6636999845504761},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.532800018787384},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.5019000172615051},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4936999976634979},{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.48410001397132874},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45570001006126404},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41990000009536743},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4104999899864197},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.36169999837875366},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.3580000102519989},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.35420000553131104},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.3246999979019165},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32010000944137573},{"id":"https://openalex.org/C53936288","wikidata":"https://www.wikidata.org/wiki/Q2634828","display_name":"Inverse limit","level":2,"score":0.3034000098705292},{"id":"https://openalex.org/C140528856","wikidata":"https://www.wikidata.org/wiki/Q191884","display_name":"Inverse function","level":3,"score":0.3021000027656555},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.29660001397132874},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.2888000011444092},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.2809000015258789},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26980000734329224},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.26759999990463257},{"id":"https://openalex.org/C157351203","wikidata":"https://www.wikidata.org/wiki/Q216906","display_name":"Multiplicative inverse","level":3,"score":0.2669999897480011},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2635999917984009},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26249998807907104},{"id":"https://openalex.org/C2778775528","wikidata":"https://www.wikidata.org/wiki/Q5135432","display_name":"Closing (real estate)","level":2,"score":0.25679999589920044},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C183212220","wikidata":"https://www.wikidata.org/wiki/Q3345669","display_name":"Heat kernel","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.30862","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30862","pdf_url":"https://arxiv.org/pdf/2610.30862","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.2610.30862","doi":"https://doi.org/10.48550/arxiv.2610.30862","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.30862","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.30862","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30862","pdf_url":"https://arxiv.org/pdf/2610.30862","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/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223297985.pdf","grobid_xml":"https://content.openalex.org/works/W7223297985.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W31208289","https://openalex.org/W68607960","https://openalex.org/W323935674","https://openalex.org/W599705616","https://openalex.org/W1508842132","https://openalex.org/W2272169419","https://openalex.org/W2949021257","https://openalex.org/W4206131792","https://openalex.org/W7164061071"],"related_works":["https://openalex.org/W2725794004","https://openalex.org/W7164061071","https://openalex.org/W7128597939","https://openalex.org/W4392934677","https://openalex.org/W7154513491","https://openalex.org/W2535622919","https://openalex.org/W4416611605","https://openalex.org/W7130395080","https://openalex.org/W2996083660","https://openalex.org/W2785704357"],"abstract_inverted_index":{"We":[0,67],"develop":[1],"a":[2,44],"topological":[3],"and":[4,27,72,80],"combinatorial":[5],"interpretation":[6],"of":[7,38,53,56,63,117],"the":[8,36,49,57,64,90,98,105,110,118],"Kawai--Lewellen--Tye":[9],"(KLT)":[10],"relations":[11],"for":[12],"$n$-point":[13],"AdS":[14],"string-amplitude":[15],"building":[16],"blocks,":[17],"which":[18,83,101],"are":[19],"disk":[20],"integrals":[21,29],"with":[22,30,61,104],"multivariable":[23],"multiple":[24],"polylogarithm":[25],"insertions":[26],"sphere":[28],"their":[31,74],"single-valued":[32],"counterparts.":[33],"Building":[34],"on":[35],"framework":[37],"twisted":[39,70,111],"de":[40],"Rham":[41],"theory":[42],"over":[43],"noncommutative":[45],"ring,":[46],"we":[47],"reformulate":[48],"problem":[50],"in":[51],"terms":[52],"associahedral":[54],"chambers":[55],"moduli":[58],"space":[59],"loaded":[60],"solutions":[62],"Knizhnik--Zamolodchikov":[65],"equation.":[66],"construct":[68],"regularized":[69],"cycles":[71],"express":[73],"intersection":[75,91,99],"pairings":[76],"through":[77],"local":[78],"monodromies":[79],"Drinfeld":[81],"associators,":[82],"control":[84],"transport":[85],"between":[86],"fusion-tree":[87],"normalizations.":[88],"Organizing":[89],"contributions":[92],"by":[93,109],"common":[94],"boundary":[95],"faces":[96],"yields":[97],"matrix,":[100],"is":[102,122],"identified":[103],"inverse":[106,119],"KLT":[107,120],"kernel":[108,121],"period":[112],"relation.":[113],"The":[114],"field-theory":[115],"limit":[116],"also":[123],"given.":[124]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-10-24T00:00:00"}