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dc.contributor.authorKim, Heeyeon
dc.contributor.authorLee, Seung-Joo
dc.contributor.authorYi, Piljin
dc.date.accessioned2019-03-05T17:14:40Z
dc.date.available2019-03-05T17:14:40Z
dc.date.issued2015-07-20
dc.identifier.issn1029-8479
dc.identifier.other93
dc.identifier.urihttp://hdl.handle.net/10919/88076
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_US
dc.description.sponsorshipNSF [PHY-1417316]
dc.description.sponsorshipPerimeter Institute for Theoretical Physics
dc.description.sponsorshipGovernment of Canada through Industry Canada
dc.description.sponsorshipProvince of Ontario through the Ministry of Economic Development and Innovation
dc.description.sponsorshipJohn Templeton Foundation
dc.description.sponsorshipNSF [PHY-1417316]
dc.description.sponsorshipPerimeter Institute for Theoretical Physics
dc.description.sponsorshipGovernment of Canada through Industry Canada
dc.description.sponsorshipProvince of Ontario through the Ministry of Economic Development and Innovation
dc.description.sponsorshipJohn Templeton Foundation
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherSpringer
dc.rightsCreative Commons Attribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectSupersymmetry and Duality
dc.subjectString Duality
dc.subjectDuality in Gauge Field Theories
dc.subjectSolitons Monopoles and Instantons
dc.titleMutation, Witten index, and quiver invarianten_US
dc.typeArticle - Refereed
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.
dc.title.serialJournal of High Energy Physics
dc.identifier.doihttps://doi.org/10.1007/JHEP07(2015)093
dc.identifier.issue7
dc.type.dcmitypeText


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License: Creative Commons Attribution 4.0 International