{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1361137044353316096.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1007/jhep09(2019)073"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/content/pdf/10.1007/JHEP09(2019)073.pdf"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/article/10.1007/JHEP09(2019)073/fulltext.html"}}],"dc:title":[{"@value":"Index-like theorems from line defect vevs"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>A<jats:sc>bstract</jats:sc></jats:title><jats:p>In this paper we investigate the relation between complexified Fenchel-Nielsen coordinates and spectral network coordinates on Seiberg-Witten moduli space. The main technique is the comparison of exact expressions for the expectation value of ’t Hooft defects in certain 4D SU(2)<jats:inline-formula><jats:alternatives><jats:tex-math>$$ \\mathcal{N} $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>N</mml:mi></mml:math></jats:alternatives></jats:inline-formula>= 2 gauge theories. We derive an index-like theorem for a class of Dirac operators on singular monopole moduli spaces. Our expression determines the indices of Dirac operators on singular monopole moduli spaces in terms of characteristic numbers for vector bundles over certain Kronheimer-Nakajima quiver varieties.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1381137044353316096","@type":"Researcher","foaf:name":[{"@value":"T. Daniel Brennan"}]},{"@id":"https://cir.nii.ac.jp/crid/1381137044353316097","@type":"Researcher","foaf:name":[{"@value":"Gregory W. Moore"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"10298479"}],"prism:publicationName":[{"@value":"Journal of High Energy Physics"}],"dc:publisher":[{"@value":"Springer Science and Business Media LLC"}],"prism:publicationDate":"2019-09","prism:volume":"2019","prism:number":"9","prism:startingPage":"073"},"reviewed":"false","dc:rights":["https://creativecommons.org/licenses/by/4.0/","https://creativecommons.org/licenses/by/4.0/"],"url":[{"@id":"https://link.springer.com/content/pdf/10.1007/JHEP09(2019)073.pdf"},{"@id":"https://link.springer.com/article/10.1007/JHEP09(2019)073/fulltext.html"}],"createdAt":"2019-09-11","modifiedAt":"2024-07-23","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360853567831578112","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Wilson-’t Hooft lines as transfer matrices"}]},{"@id":"https://cir.nii.ac.jp/crid/1361694365611828864","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Wall-crossing and operator ordering for ’t Hooft operators in $$ \\mathcal{N} $$ = 2 gauge theories"}]},{"@id":"https://cir.nii.ac.jp/crid/2050870367083427840","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Wilson-'t Hooft line operators as transfer matrices"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1007/jhep09(2019)073"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptab072_references_DOI_35k2kzuC4bQma19iPIzixAPu0yG"},{"@type":"CROSSREF","@value":"10.1007/jhep01(2021)072_references_DOI_35k2kzuC4bQma19iPIzixAPu0yG"},{"@type":"CROSSREF","@value":"10.1007/jhep11(2019)116_references_DOI_35k2kzuC4bQma19iPIzixAPu0yG"}]}