B-branes and supersymmetric quivers in 2d

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dc.contributor.authorClosset, Cyrilen
dc.contributor.authorGuo, Jiruien
dc.contributor.authorSharpe, Eric R.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-02-27T14:06:36Zen
dc.date.available2019-02-27T14:06:36Zen
dc.date.issued2018-02-08en
dc.description.abstractWe study 2d N = (0, 2) supersymmetric quiver gauge theories that describe the low-energy dynamics of D1-branes at Calabi-Yau fourfold (CY4) singularities. On general grounds, the holomorphic sector of these theories - matter content and (classical) superpotential interactions - should be fully captured by the topological B-model on the CY4. By studying a number of examples, we confirm this expectation and flesh out the dictionary between B-brane category and supersymmetric quiver, the matter content of the supersymmetric quiver is encoded in morphisms between B-branes (that is, Ext groups of coherent sheaves), while the superpotential interactions are encoded in the A(infinity) algebra satisfied by the morphisms. This provides us with a derivation of the supersymmetric quiver directly from the CY4 geometry. We also suggest a relation between triality of N = (0, 2) gauge theories and certain mutations of exceptional collections of sheaves. 0d N = 1 supersymmetric quivers, corresponding to D-instantons probing CY5 singularities, can be discussed similarly.en
dc.description.notesWe would like to thank P. Aspinwall, S. Franco, D. Ghim, C. Herzog, S. Katz, W. Lerche, I. Melnikov, T. Pantev, and R.K. Seong for useful conversations and comments. E.S. was partially supported by NSF grants PHY-1417410 and PHY-1720321.en
dc.description.sponsorshipNSF [PHY-1417410, PHY-1720321]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP02(2018)051en
dc.identifier.issn1029-8479en
dc.identifier.issue2en
dc.identifier.other51en
dc.identifier.urihttp://hdl.handle.net/10919/87865en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectD-branesen
dc.subjectField Theories in Lower Dimensionsen
dc.subjectSupersymmetry and Dualityen
dc.subjectTopological Stringsen
dc.titleB-branes and supersymmetric quivers in 2den
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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