{"id":"https://openalex.org/W7224078003","doi":"https://doi.org/10.48550/arxiv.2610.36028","title":"Cusp regularization with spin structures and gravitational anomalies","display_name":"Cusp regularization with spin structures and gravitational anomalies","publication_year":2026,"publication_date":"2026-10-26","ids":{"openalex":"https://openalex.org/W7224078003","doi":"https://doi.org/10.48550/arxiv.2610.36028"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.36028","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36028","pdf_url":"https://arxiv.org/pdf/2610.36028","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/2610.36028","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029497071","display_name":"Elisa Tabor","orcid":"https://orcid.org/0000-0002-1227-1516","observed_orcids":["https://orcid.org/0000-0002-1227-1516"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tabor, Elisa","raw_affiliation_strings":["Leinweber Institute for Theoretical Physics , Stanford University , Stanford , CA 94305"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Leinweber Institute for Theoretical Physics , Stanford University , Stanford , CA 94305","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063054710","display_name":"Cynthia Yan","orcid":"https://orcid.org/0000-0003-4900-6393","observed_orcids":["https://orcid.org/0000-0003-4900-6393"]},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yan, Cynthia","raw_affiliation_strings":["Jefferson Physical Laboratory , Harvard University , Cambridge , MA 02138"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jefferson Physical Laboratory , Harvard University , Cambridge , MA 02138","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"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":1.0,"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":1.0,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0,"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"}},{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.0,"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/gravity-anomalies","display_name":"gravity anomalies","score":0.9229999780654907},{"id":"https://openalex.org/keywords/anomaly-cancellation","display_name":"anomaly cancellation","score":0.44999998807907104},{"id":"https://openalex.org/keywords/counterterms","display_name":"counterterms","score":0.4099999964237213}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8026999831199646},{"id":"https://openalex.org/C2778400075","wikidata":"https://www.wikidata.org/wiki/Q655275","display_name":"Cusp (singularity)","level":2,"score":0.6751999855041504},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.5946000218391418},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49000000953674316},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4860000014305115},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.4401000142097473},{"id":"https://openalex.org/C133679453","wikidata":"https://www.wikidata.org/wiki/Q867441","display_name":"Gravitational anomaly","level":5,"score":0.4090000092983246},{"id":"https://openalex.org/C12997251","wikidata":"https://www.wikidata.org/wiki/Q567560","display_name":"Anomaly (physics)","level":2,"score":0.39430001378059387},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.3776000142097473},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.33980000019073486},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3260999917984009},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.30390000343322754},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C2776590265","wikidata":"https://www.wikidata.org/wiki/Q5277275","display_name":"Dimensional regularization","level":3,"score":0.28139999508857727},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.27630001306533813},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.2676999866962433},{"id":"https://openalex.org/C194482375","wikidata":"https://www.wikidata.org/wiki/Q117987","display_name":"Magnetic anomaly","level":2,"score":0.25380000472068787},{"id":"https://openalex.org/C193943012","wikidata":"https://www.wikidata.org/wiki/Q260761","display_name":"Spin-flip","level":3,"score":0.2535000145435333}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.36028","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36028","pdf_url":"https://arxiv.org/pdf/2610.36028","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.2610.36028","doi":"https://doi.org/10.48550/arxiv.2610.36028","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.36028","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:2610.36028","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36028","pdf_url":"https://arxiv.org/pdf/2610.36028","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/G2595738051","display_name":null,"funder_award_id":"PHY-2210452","funder_id":"https://openalex.org/F4320310042","funder_display_name":"Aspen Center for Physics"},{"id":"https://openalex.org/G638484911","display_name":null,"funder_award_id":"PHY-2210452","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7875365370","display_name":"Programs on Critical Problems in Physics, Astrophysics and Biophysics at the Aspen Center for Physics","funder_award_id":"2210452","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"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320310042","display_name":"Aspen Center for Physics","ror":"https://ror.org/05gqcbq50"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224078003.pdf","grobid_xml":"https://content.openalex.org/works/W7224078003.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W1763748250","https://openalex.org/W1872046492","https://openalex.org/W1892640057","https://openalex.org/W1903799644","https://openalex.org/W1964129307","https://openalex.org/W2035571860","https://openalex.org/W2079949279","https://openalex.org/W2087092625","https://openalex.org/W2087963847","https://openalex.org/W2095669769","https://openalex.org/W2127553322","https://openalex.org/W2140482927","https://openalex.org/W2171135483","https://openalex.org/W2171162233","https://openalex.org/W2514349536","https://openalex.org/W2615339600","https://openalex.org/W2774739355","https://openalex.org/W2923867126","https://openalex.org/W2952883232","https://openalex.org/W2954629904","https://openalex.org/W2963041808","https://openalex.org/W2990395809","https://openalex.org/W3021257637","https://openalex.org/W3023304147","https://openalex.org/W3034470899","https://openalex.org/W3035526662","https://openalex.org/W3036127800","https://openalex.org/W3046417245","https://openalex.org/W3119438565","https://openalex.org/W3186322271","https://openalex.org/W3194279784","https://openalex.org/W4283076175","https://openalex.org/W4283265402","https://openalex.org/W4310208515","https://openalex.org/W4313272683","https://openalex.org/W4384257945","https://openalex.org/W4387540394","https://openalex.org/W4388510359","https://openalex.org/W4389290623","https://openalex.org/W4389622824","https://openalex.org/W4391145953","https://openalex.org/W4394671045","https://openalex.org/W4402826952","https://openalex.org/W4403887205","https://openalex.org/W4404376118","https://openalex.org/W4409159759","https://openalex.org/W4414121263","https://openalex.org/W4414345986","https://openalex.org/W4415138566","https://openalex.org/W4415309686","https://openalex.org/W4416244810","https://openalex.org/W4416364423","https://openalex.org/W7130724043","https://openalex.org/W7170199038","https://openalex.org/W7215127215","https://openalex.org/W7221039170"],"related_works":["https://openalex.org/W4416244810","https://openalex.org/W1996694976","https://openalex.org/W2044269267","https://openalex.org/W2062322880","https://openalex.org/W2158471406","https://openalex.org/W3102409790","https://openalex.org/W2288927499","https://openalex.org/W2613418800","https://openalex.org/W1586665956","https://openalex.org/W2087527130"],"abstract_inverted_index":{"The":[0,62],"family":[1],"of":[2,55,76],"$SL(2,\\mathbb":[3],"Z)$":[4],"black":[5,21,89],"holes":[6,22],"has":[7],"an":[8],"accumulation":[9],"point":[10],"corresponding":[11],"to":[12,23,29],"a":[13,36,47],"cusped":[14],"geometry,":[15],"which":[16],"causes":[17],"the":[18,30,44,50,56,66,77,93,112],"sum":[19,31],"over":[20,32],"diverge.":[24],"We":[25,80,109],"extend":[26],"cusp":[27,45,95],"regularization":[28],"geometries":[33],"compatible":[34],"with":[35],"fixed":[37],"boundary":[38,59],"spin":[39,60,113],"structure.":[40],"For":[41],"$c_L=c_R$,":[42],"including":[43],"as":[46],"counterterm":[48],"cancels":[49],"leading":[51,94],"divergence":[52,96],"for":[53,119],"each":[54],"three":[57,70],"even":[58],"structures.":[61],"required":[63],"subtraction":[64],"is":[65,73],"same":[67],"in":[68,100,105],"all":[69],"sectors":[71],"and":[72,103],"two":[74],"thirds":[75],"bosonic":[78],"one.":[79],"further":[81],"show":[82],"that":[83],"gravitational":[84],"anomalies":[85],"cause":[86],"cancellations":[87],"between":[88],"hole":[90],"contributions,":[91],"removing":[92],"except":[97],"at":[98],"$c_L-c_R=0,\\pm24$":[99],"pure":[101],"gravity":[102],"$c_L-c_R=0,\\pm12$":[104],"$\\mathcal":[106],"N=(1,1)$":[107],"supergravity.":[108],"also":[110],"derive":[111],"structure":[114],"dependent":[115],"anomaly":[116],"phases":[117],"responsible":[118],"these":[120],"cancellations.":[121]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-29T00:00:00"}