{"id":"https://openalex.org/W7204763193","doi":"https://doi.org/10.48550/arxiv.2608.27594","title":"Positive Geometry of Yang-Mills Correlators","display_name":"Positive Geometry of Yang-Mills Correlators","publication_year":2026,"publication_date":"2026-08-27","ids":{"openalex":"https://openalex.org/W7204763193","doi":"https://doi.org/10.48550/arxiv.2608.27594"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.27594","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27594","pdf_url":"https://arxiv.org/pdf/2608.27594","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/2608.27594","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5121530310","display_name":"Mattia Arundine","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405255903","display_name":"Institute of Physics","ror":"https://ror.org/03hxzy361","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4405255903","https://openalex.org/I887064364"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Arundine, Mattia","raw_affiliation_strings":["Institute of Physics , University of Amsterdam , Amsterdam , 1098 XH , The Netherlands","Leung Center for Cosmology and Particle Astrophysics , Taipei 10617 , Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics , University of Amsterdam , Amsterdam , 1098 XH , The Netherlands","institution_ids":["https://openalex.org/I4405255903","https://openalex.org/I887064364"]},{"raw_affiliation_string":"Leung Center for Cosmology and Particle Astrophysics , Taipei 10617 , Taiwan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058370992","display_name":"Veronica Calvo Cortes","orcid":"https://orcid.org/0009-0005-3096-7436","observed_orcids":["https://orcid.org/0009-0005-3096-7436"]},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Cortes, Veronica Calvo","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences , Leipzig 04103 , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences , Leipzig 04103 , Germany","institution_ids":["https://openalex.org/I4210091327"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123065995","display_name":"Joris Koefler","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Koefler, Joris","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences , Leipzig 04103 , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences , Leipzig 04103 , Germany","institution_ids":["https://openalex.org/I4210091327"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073742563","display_name":"F. Rost","orcid":"https://orcid.org/0000-0002-2974-6565","observed_orcids":["https://orcid.org/0000-0002-2974-6565"]},"institutions":[{"id":"https://openalex.org/I157210198","display_name":"Scuola Normale Superiore","ror":"https://ror.org/03aydme10","country_code":"IT","type":"education","lineage":["https://openalex.org/I157210198"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Rost, Facundo","raw_affiliation_strings":["Scuola Normale Superiore and INFN , Piazza dei Cavalieri 7 , 56126 , Pisa , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Scuola Normale Superiore and INFN , Piazza dei Cavalieri 7 , 56126 , Pisa , Italy","institution_ids":["https://openalex.org/I157210198"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"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":0.9520999789237976,"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":0.9520999789237976,"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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.008200000040233135,"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":0.005499999970197678,"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/positive-geometry","display_name":"positive geometry","score":0.9900000095367432},{"id":"https://openalex.org/keywords/de-sitter-space","display_name":"de Sitter space","score":0.9430000185966492},{"id":"https://openalex.org/keywords/canonical-form","display_name":"canonical form","score":0.5889999866485596},{"id":"https://openalex.org/keywords/homology-cycles","display_name":"homology cycles","score":0.8339999914169312},{"id":"https://openalex.org/keywords/tree-level-amplitudes","display_name":"tree-level amplitudes","score":0.7860000133514404},{"id":"https://openalex.org/keywords/flat-space-limit","display_name":"flat space limit","score":0.6639999747276306}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6661999821662903},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.5580999851226807},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.4997999966144562},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.492000013589859},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47110000252723694},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.4415000081062317},{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.41350001096725464},{"id":"https://openalex.org/C55294529","wikidata":"https://www.wikidata.org/wiki/Q579544","display_name":"Vandermonde matrix","level":3,"score":0.400299996137619},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.38830000162124634},{"id":"https://openalex.org/C2775956649","wikidata":"https://www.wikidata.org/wiki/Q1189744","display_name":"Pfaffian","level":2,"score":0.3824000060558319},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37299999594688416},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.34540000557899475},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.3450999855995178},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.31850001215934753},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3174000084400177},{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.314300000667572},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2971000075340271},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.29030001163482666},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.2865000069141388},{"id":"https://openalex.org/C84597430","wikidata":"https://www.wikidata.org/wiki/Q106227","display_name":"Locus (genetics)","level":3,"score":0.2793999910354614},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2721000015735626},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2685000002384186},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.26669999957084656},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2639000117778778},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.2619999945163727}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.27594","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27594","pdf_url":"https://arxiv.org/pdf/2608.27594","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.2608.27594","doi":"https://doi.org/10.48550/arxiv.2608.27594","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.27594","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:2608.27594","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27594","pdf_url":"https://arxiv.org/pdf/2608.27594","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/F4320311061","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204763193.pdf","grobid_xml":"https://content.openalex.org/works/W7204763193.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1968549008","https://openalex.org/W1968838851","https://openalex.org/W2007148718","https://openalex.org/W2009424268","https://openalex.org/W2076581862","https://openalex.org/W2078731381","https://openalex.org/W2110766703","https://openalex.org/W2128387773","https://openalex.org/W2128492382","https://openalex.org/W2130773360","https://openalex.org/W2151956784","https://openalex.org/W2169335939","https://openalex.org/W2602942862","https://openalex.org/W2754632725","https://openalex.org/W2770434314","https://openalex.org/W2898681057","https://openalex.org/W2904042834","https://openalex.org/W2968108619","https://openalex.org/W3022800253","https://openalex.org/W3037609493","https://openalex.org/W3083509157","https://openalex.org/W3153875966","https://openalex.org/W3165997285","https://openalex.org/W4200634179","https://openalex.org/W4237364295","https://openalex.org/W4286215030","https://openalex.org/W4387058509","https://openalex.org/W4390832478","https://openalex.org/W4394640777","https://openalex.org/W4394771072","https://openalex.org/W4400914202","https://openalex.org/W4404026947","https://openalex.org/W4406449995","https://openalex.org/W4407097223","https://openalex.org/W4414770496","https://openalex.org/W4415967147","https://openalex.org/W7128529572","https://openalex.org/W7153022183","https://openalex.org/W7153236049","https://openalex.org/W7153264995","https://openalex.org/W7161012334","https://openalex.org/W7162069116","https://openalex.org/W7165964083"],"related_works":["https://openalex.org/W4403114646","https://openalex.org/W7128529572","https://openalex.org/W2897677385","https://openalex.org/W7165964083","https://openalex.org/W2527717387","https://openalex.org/W4407398372","https://openalex.org/W7221046471","https://openalex.org/W6944564946","https://openalex.org/W4364387164","https://openalex.org/W7097214738"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,112,140,145],"positive-geometric":[3],"formulation":[4,125],"of":[5,48,65,88,90,118,126,148],"tree-level":[6],"Yang-Mills":[7,42,100],"correlators":[8],"in":[9,52],"de":[10],"Sitter":[11],"space":[12],"at":[13],"three":[14,39],"and":[15],"four":[16,56,69],"points":[17],"through":[18],"their":[19],"helicity-stripped":[20],"representatives":[21],"on":[22,106],"the":[23,41,45,49,53,58,62,66,79,97,107,122,133],"cosmological":[24,150],"Grassmannian.":[25,54],"In":[26],"its":[27],"Pfaffian":[28],"(or":[29],"spinor)":[30],"embedding,":[31],"physical":[32],"singularities":[33],"become":[34],"natural":[35],"geometric":[36,146],"boundaries.":[37],"At":[38,55],"points,":[40,57],"correlator":[43],"is":[44,129],"canonical":[46,94],"form":[47,95],"non-negative":[50],"orthant":[51],"Mandelstam":[59],"divisors":[60],"partition":[61],"Pfaffian-positive":[63],"domain":[64],"Grassmannian":[67],"into":[68,74],"positive":[70,127],"geometries.":[71],"Requiring":[72],"factorization":[73],"three-point":[75],"forms,":[76],"together":[77],"with":[78],"correct":[80],"flat-space":[81],"limit,":[82],"uniquely":[83,113],"selects":[84],"an":[85],"oriented":[86],"union":[87],"two":[89],"these":[91],"regions,":[92],"whose":[93],"reproduces":[96],"reduced":[98],"color-ordered":[99,104],"correlator.":[101],"The":[102],"full":[103],"correlator,":[105],"other":[108],"hand,":[109],"arises":[110],"from":[111],"fixed":[114],"signed":[115],"linear":[116],"combination":[117],"homology":[119],"cycles.":[120],"Thus,":[121],"broader":[123],"homological":[124],"geometry":[128],"essential":[130],"for":[131,144],"capturing":[132],"complete":[134],"four-point":[135],"result.":[136],"Our":[137],"construction":[138],"provides":[139],"concrete":[141],"starting":[142],"point":[143],"description":[147],"higher-point":[149],"correlators.":[151]},"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-01T00:00:00"}
