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Multi-cover skeins, quivers, and 3d $$ \mathcal{N} $$ = 2 dualities

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dc.abstract.enThe relation between open topological strings and representation theory of symmetric quivers is explored beyond the original setting of the knot-quiver correspondence. Multiple cover generalizations of the skein relation for boundaries of holomorphic disks on a Lagrangian brane are observed to generate dual quiver descriptions of the geometry. Embedding into M-theory, a large class of dualities of 3d N = 2 theories associated to quivers is obtained. The multi-cover skein relation admits a compact formulation in terms of quantum torus algebras associated to the quiver and in this language the relations are similar to wall-crossing identities of Kontsevich and Soibelman.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorKucharski, Piotr
dc.contributor.authorLonghi, Pietro
dc.contributor.authorEkholm, Tobias
dc.date.accessioned2024-01-25T13:05:59Z
dc.date.available2024-01-25T13:05:59Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.number2
dc.description.volume2020
dc.identifier.doi10.1007/JHEP02(2020)018
dc.identifier.issn1126-6708
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/113059
dc.identifier.weblinkhttp://link.springer.com/content/pdf/10.1007/JHEP02(2020)018.pdf
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofJournal of High Energy Physics
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleMulti-cover skeins, quivers, and 3d $$ \mathcal{N} $$ = 2 dualities
dc.typeJournalArticle
dspace.entity.typePublication