Mutation, Witten index, and quiver invariant

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dc.contributor.authorKim, Heeyeonen
dc.contributor.authorLee, Seung-Jooen
dc.contributor.authorYi, Piljinen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-03-05T17:14:40Zen
dc.date.available2019-03-05T17:14:40Zen
dc.date.issued2015-07-20en
dc.description.abstractWe explore Seiberg-like dualities, or mutations, for quiver quantum mechanics in the context of wall-crossing. In contrast to higher dimensions, the 1d Seiberg-duality must be performed with much care. With fixed Fayet-Iliopoulos constants, at most two nodes can be mutated, one left and the other right, mapping a chamber of a quiver into a chamber of a mutated quiver. We delineate this complex pattern for triangle quivers and show how the Witten indices are preserved under such finely chosen mutations. On the other hand, the quiver invariants, or wall-crossing-safe part of supersymmetric spectra, mutate more straightforwardly, whereby a quiver is mapped to a quiver. The mutation rule that preserves the quiver invariant is different from the usual one, however, which we explore and confirm numerically.en
dc.description.notesWe are indebted to Kentaro Hori and Zhao-Long Wang for useful conversations, and Kyungyong Lee for extensive discussions of the Cluster Algebra. H.K. and S-J.L. are grateful to Korea Institute for Advanced Study for hospitality. The work of S.-J.L. is supported in part by NSF grant PHY-1417316. H.K. was supported by the Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development and Innovation. The work of H.K. was made possible through the support of a grant from John Templeton Foundation. The opinions expressed in this publication are those of the author and do not necessarily reflect the views of the John Templeton Foundation.en
dc.description.sponsorshipNSF [PHY-1417316]en
dc.description.sponsorshipPerimeter Institute for Theoretical Physicsen
dc.description.sponsorshipGovernment of Canada through Industry Canadaen
dc.description.sponsorshipProvince of Ontario through the Ministry of Economic Development and Innovationen
dc.description.sponsorshipJohn Templeton Foundationen
dc.description.sponsorshipNSF [PHY-1417316]en
dc.description.sponsorshipPerimeter Institute for Theoretical Physicsen
dc.description.sponsorshipGovernment of Canada through Industry Canadaen
dc.description.sponsorshipProvince of Ontario through the Ministry of Economic Development and Innovationen
dc.description.sponsorshipJohn Templeton Foundationen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP07(2015)093en
dc.identifier.issn1029-8479en
dc.identifier.issue7en
dc.identifier.other93en
dc.identifier.urihttp://hdl.handle.net/10919/88076en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectSupersymmetry and Dualityen
dc.subjectString Dualityen
dc.subjectDuality in Gauge Field Theoriesen
dc.subjectSolitons Monopoles and Instantonsen
dc.titleMutation, Witten index, and quiver invarianten
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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