{"id":"https://openalex.org/W2963143753","doi":"https://doi.org/10.1090/pspum/093/01587","title":"Codimension two defects and the Springer correspondence","display_name":"Codimension two defects and the Springer correspondence","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2963143753","doi":"https://doi.org/10.1090/pspum/093/01587","mag":"2963143753"},"language":"en","primary_location":{"id":"doi:10.1090/pspum/093/01587","doi":"https://doi.org/10.1090/pspum/093/01587","is_oa":false,"landing_page_url":"https://doi.org/10.1090/pspum/093/01587","pdf_url":null,"source":{"id":"https://openalex.org/S4210224528","display_name":"Proceedings of symposia in pure mathematics","issn_l":"0082-0717","issn":["0082-0717","2324-707X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of Symposia in Pure Mathematics","raw_type":"other"},"volume":{"id":"https://openalex.org/W2294366266","display_name":"String-Math 2014"},"type":"book-chapter","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1502.06311","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082992014","display_name":"Aswin Balasubramanian","orcid":"https://orcid.org/0000-0001-6046-0779","observed_orcids":["https://orcid.org/0000-0001-6046-0779"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Aswin Balasubramanian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5082992014"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"93","issue":null,"first_page":"89","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.7548999786376953,"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":0.7548999786376953,"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":0.22290000319480896,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.00570000009611249,"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/codimension-two-defects","display_name":"codimension-two defects","score":0.9919999837875366},{"id":"https://openalex.org/keywords/springer-correspondence","display_name":"Springer correspondence","score":0.9390000104904175},{"id":"https://openalex.org/keywords/six-dimensional-field-theory","display_name":"six-dimensional field theory","score":0.6259999871253967},{"id":"https://openalex.org/keywords/s-duality","display_name":"S-duality","score":0.8640000224113464},{"id":"https://openalex.org/keywords/n-4-super-yang-mills","display_name":"N=4 supersymmetric Yang-Mills","score":0.8399999737739563},{"id":"https://openalex.org/keywords/weyl-group","display_name":"Weyl group","score":0.8709999918937683},{"id":"https://openalex.org/keywords/symmetry-breaking","display_name":"symmetry breaking","score":0.6000000238418579}],"concepts":[{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.7486248016357422},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7078322172164917},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5426157116889954},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5049458146095276},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.4990406036376953},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.4803110957145691},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.4613412022590637},{"id":"https://openalex.org/C192423722","wikidata":"https://www.wikidata.org/wiki/Q1455736","display_name":"Global symmetry","level":4,"score":0.4527483582496643},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.45167627930641174},{"id":"https://openalex.org/C147247565","wikidata":"https://www.wikidata.org/wiki/Q5527635","display_name":"Gauge symmetry","level":3,"score":0.4488520920276642},{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.4216369390487671},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42151695489883423},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.42041832208633423},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.4200005829334259},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3680957555770874},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3524705767631531},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.2784276604652405},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.247523695230484},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21241480112075806},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1679406464099884},{"id":"https://openalex.org/C125881977","wikidata":"https://www.wikidata.org/wiki/Q736716","display_name":"Spontaneous symmetry breaking","level":3,"score":0.15821561217308044},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15610840916633606},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1090/pspum/093/01587","doi":"https://doi.org/10.1090/pspum/093/01587","is_oa":false,"landing_page_url":"https://doi.org/10.1090/pspum/093/01587","pdf_url":null,"source":{"id":"https://openalex.org/S4210224528","display_name":"Proceedings of symposia in pure mathematics","issn_l":"0082-0717","issn":["0082-0717","2324-707X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of Symposia in Pure Mathematics","raw_type":"other"},{"id":"pmh:oai:arXiv.org:1502.06311","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1502.06311","pdf_url":"https://arxiv.org/pdf/1502.06311","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.1502.06311","doi":"https://doi.org/10.48550/arxiv.1502.06311","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1502.06311","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"},{"id":"mag:2963143753","doi":null,"is_oa":false,"landing_page_url":"http://inspirehep.net/record/1345856/files/arXiv:1502.06311.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1502.06311","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1502.06311","pdf_url":"https://arxiv.org/pdf/1502.06311","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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963143753.pdf","grobid_xml":"https://content.openalex.org/works/W2963143753.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W155948660","https://openalex.org/W1530768791","https://openalex.org/W1746098930","https://openalex.org/W1901112587","https://openalex.org/W1906166394","https://openalex.org/W1952078602","https://openalex.org/W2070683605","https://openalex.org/W2094996562","https://openalex.org/W2120340707","https://openalex.org/W2172095894","https://openalex.org/W2487473581","https://openalex.org/W2951919349"],"related_works":["https://openalex.org/W2620116512","https://openalex.org/W2094996562","https://openalex.org/W7096834261","https://openalex.org/W1988688461","https://openalex.org/W2531225559","https://openalex.org/W7161810134","https://openalex.org/W7096819537","https://openalex.org/W2024388810","https://openalex.org/W2754208138","https://openalex.org/W4406444178"],"abstract_inverted_index":{"One":[0],"can":[1],"associate":[2],"an":[3,37],"invariant":[4],"to":[5,100],"a":[6,40,66,122],"large":[7],"class":[8,73,128],"of":[9,14,43,45,68,72,84,117,124,129],"regular":[10],"codimension":[11],"two":[12],"defects":[13],"the":[15,32,82,86,106,110,114,127,133,136,145],"six":[16],"dimensional":[17],"(":[18],"0":[19],",":[20],"2":[21],")":[22],"(0,2)":[23],"SCFT":[24],"X":[25],"[":[26],"j":[27],"]":[28],"\\mathscr":[29],"{X}[j]":[30],"using":[31],"classical":[33],"Springer":[34,111],"correspondence.":[35],"Such":[36],"association":[38],"allows":[39],"simple":[41],"description":[42],"S-duality":[44],"associated":[46],"Gaiotto-Witten":[47],"boundary":[48,88,130],"conditions":[49,89,131],"in":[50,90,105,132,135,144],"N":[51,91],"=":[52,92],"4":[53,93],"\\mathcal":[54,75,94],"{N}=4":[55,95],"SYM":[56,96],"for":[57],"arbitrary":[58],"gauge":[59,140,149],"group":[60],"G":[61,62],"and":[63,113,142],"by":[64],"extension,":[65],"determination":[67],"certain":[69],"local":[70],"aspects":[71],"S":[74],"{S}":[76],"constructions.":[77],"I":[78,120],"point":[79],"out":[80],"that":[81],"problem":[83],"classifying":[85],"corresponding":[87],"is":[97],"intimately":[98],"tied":[99],"possible":[101],"symmetry":[102,141],"breaking":[103],"patterns":[104],"bulk":[107],"theory.":[108],"Using":[109],"correspondence":[112],"representation":[115],"theory":[116,134],"Weyl":[118],"groups,":[119],"construct":[121],"pair":[123],"functors":[125],"between":[126],"phase":[137,146],"with":[138,147],"broken":[139],"those":[143],"unbroken":[148],"symmetry.":[150]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2019-07-30T00:00:00"}