{"id":"https://openalex.org/W7223027693","doi":"https://doi.org/10.48550/arxiv.2610.24111","title":"Topological deformations of local gauge theories: a presymplectic BV-AKSZ approach","display_name":"Topological deformations of local gauge theories: a presymplectic BV-AKSZ approach","publication_year":2026,"publication_date":"2026-10-16","ids":{"openalex":"https://openalex.org/W7223027693","doi":"https://doi.org/10.48550/arxiv.2610.24111"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.24111","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.24111","pdf_url":"https://arxiv.org/pdf/2610.24111","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.24111","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015479049","display_name":"Ivan Dneprov","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130929987","display_name":"University of Mons","ror":"https://ror.org/02qnnz951","country_code":"BE","type":"education","lineage":["https://openalex.org/I130929987"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Dneprov, Ivan","raw_affiliation_strings":["Service de Physique de l'Univers , Champs et Gravitation , Universit\u00e9 de Mons , 20 place du Parc , 7000 Mons , Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Service de Physique de l'Univers , Champs et Gravitation , Universit\u00e9 de Mons , 20 place du Parc , 7000 Mons , Belgium","institution_ids":["https://openalex.org/I130929987"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159105329","display_name":"Alexey Donchenko","orcid":null,"observed_orcids":[]},"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"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Donchenko, Alexey","raw_affiliation_strings":["Institute for Theoretical and Mathematical Physics , Lomonosov Moscow State University , 119991 Moscow , Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Theoretical and Mathematical Physics , Lomonosov Moscow State University , 119991 Moscow , Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071747420","display_name":"Maxim A Grigoriev","orcid":"https://orcid.org/0000-0002-2368-7445","observed_orcids":["https://orcid.org/0000-0002-2368-7445"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Grigoriev, Maxim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"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":0.7554000020027161,"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":0.7554000020027161,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.13819999992847443,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.057100001722574234,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/topological-deformation","display_name":"topological deformation","score":0.9810000061988831},{"id":"https://openalex.org/keywords/aksz-sigma-models","display_name":"AKSZ sigma models","score":0.777999997138977},{"id":"https://openalex.org/keywords/bf-theory","display_name":"BF theory","score":0.6359999775886536},{"id":"https://openalex.org/keywords/principal-chiral-model","display_name":"principal chiral model","score":0.9010000228881836},{"id":"https://openalex.org/keywords/unimodular-gravity","display_name":"unimodular gravity","score":0.9879999756813049},{"id":"https://openalex.org/keywords/cosmological-constant","display_name":"cosmological constant","score":0.9210000038146973},{"id":"https://openalex.org/keywords/global-symmetries","display_name":"global symmetries","score":0.781000018119812}],"concepts":[{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.6682999730110168},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.5135999917984009},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.4927000105381012},{"id":"https://openalex.org/C147247565","wikidata":"https://www.wikidata.org/wiki/Q5527635","display_name":"Gauge symmetry","level":3,"score":0.4805999994277954},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.47940000891685486},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.4740000069141388},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4666999876499176},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4620000123977661},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.46149998903274536},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.45969998836517334},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.45570001006126404},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4198000133037567},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4090999960899353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4077000021934509},{"id":"https://openalex.org/C166861157","wikidata":"https://www.wikidata.org/wiki/Q59151","display_name":"Cosmological constant","level":2,"score":0.40049999952316284},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3970000147819519},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.37380000948905945},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.3734999895095825},{"id":"https://openalex.org/C2779291638","wikidata":"https://www.wikidata.org/wiki/Q1455736","display_name":"Local symmetry","level":2,"score":0.35920000076293945},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.35830000042915344},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.35499998927116394},{"id":"https://openalex.org/C146710177","wikidata":"https://www.wikidata.org/wiki/Q1154996","display_name":"Fiber bundle","level":3,"score":0.33399999141693115},{"id":"https://openalex.org/C192423722","wikidata":"https://www.wikidata.org/wiki/Q1455736","display_name":"Global symmetry","level":4,"score":0.323199987411499},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.3034000098705292},{"id":"https://openalex.org/C51364350","wikidata":"https://www.wikidata.org/wiki/Q3123529","display_name":"Spectral geometry","level":2,"score":0.2976999878883362},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2768999934196472}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.24111","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.24111","pdf_url":"https://arxiv.org/pdf/2610.24111","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.2610.24111","doi":"https://doi.org/10.48550/arxiv.2610.24111","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.24111","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:2610.24111","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.24111","pdf_url":"https://arxiv.org/pdf/2610.24111","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/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223027693.pdf","grobid_xml":"https://content.openalex.org/works/W7223027693.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4414772054","https://openalex.org/W4313678662","https://openalex.org/W4415198866","https://openalex.org/W2755903935","https://openalex.org/W2036852750","https://openalex.org/W4400861065","https://openalex.org/W4378905766","https://openalex.org/W4380087006","https://openalex.org/W7098080044","https://openalex.org/W1986219775"],"abstract_inverted_index":{"The":[0,122],"same":[1],"local":[2,118],"degrees":[3,119,173],"of":[4,46,54,58,83,105,120,139,174],"freedom":[5],"can":[6],"be":[7],"described":[8],"by":[9,62,96,151],"systems":[10,60,92],"with":[11],"different":[12],"gauge":[13,30,69,143],"structure":[14,82],"and":[15,27,35,76,158],"field":[16,26,31],"content.":[17],"Standard":[18],"examples":[19],"are":[20,71,93],"the":[21,24,28,39,52,80,109,129,140,156,178],"duality":[22],"between":[23],"scalar":[25],"2-form":[29],"in":[32,181],"four":[33],"dimensions,":[34],"unimodular":[36,182],"gravity,":[37],"where":[38,133],"cosmological":[40,179],"constant":[41,180],"becomes":[42],"a":[43,49,63,103,112,137],"global":[44,81,152,172],"degree":[45,107],"freedom.":[47,121],"In":[48],"precise":[50],"sense,":[51],"spaces":[53],"gauge-inequivalent":[55],"formal":[56],"solutions":[57,149],"such":[59,91,176],"differ":[61,86],"finite-dimensional":[64],"sector.":[65],"Moreover,":[66],"because":[67],"their":[68,73,77],"sectors":[70],"different,":[72],"consistent":[74],"interactions":[75],"sensitivity":[78],"to":[79,111,136,170],"spacetime":[84],"may":[85],"substantially.":[87],"We":[88],"show":[89],"that":[90],"naturally":[94],"related":[95,150],"what":[97],"we":[98],"call":[99],"topological":[100],"deformations:":[101],"gauging":[102],"symmetry":[104],"generic":[106],"couples":[108],"system":[110],"BF-type":[113],"sector":[114],"without":[115],"introducing":[116],"new":[117,171],"construction":[123],"is":[124],"carried":[125],"out":[126],"systematically":[127],"within":[128],"presymplectic":[130,142],"BV-AKSZ":[131],"approach,":[132],"it":[134],"amounts":[135],"modification":[138],"underlying":[141],"PDE.":[144],"Gauging":[145,163],"degree-0":[146],"symmetries":[147],"identifies":[148],"symmetries,":[153,165],"which":[154],"reproduces":[155],"scalar--2-form":[157],"principal":[159],"chiral":[160],"model--Freedman--Townsend":[161],"dualities.":[162],"degree-1":[164],"i.e.":[166],"deformations,":[167],"gives":[168],"rise":[169],"freedom,":[175],"as":[177],"gravity.":[183]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-21T00:00:00"}
