Finite Heisenbeg Groups and Seiberg Dualities in Quiver Gauge Theories

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dc.creatorBurrington, Benjamin A.
dc.creatorLiu, James T.
dc.creatorMahato, Manavendra
dc.creatorZayas, Leopoldo A. Pando
dc.date2006-04-12
dc.date2006-04-12
dc.date.accessioned2026-07-07T10:46:25Z
dc.date.available2026-07-07T10:46:25Z
dc.descriptionA large class of quiver gauge theories admits the action of finite Heisenberg groups of the form Heis(Z_q x Z_q). This Heisenberg group is generated by a manifest Z_q shift symmetry acting on the quiver along with a second Z_q rephasing (clock) generator acting on the links of the quiver. Under Seiberg duality, however, the action of the shift generator is no longer manifest, as the dualized node has a different structure from before. Nevertheless, we demonstrate that the Z_q shift generator acts naturally on the space of all Seiberg dual phases of a given quiver. We then prove that the space of Seiberg dual theories inherits the action of the original finite Heisenberg group, where now the shift generator Z_q is a map among fields belonging to different Seiberg phases. As examples, we explicitly consider the action of the Heisenberg group on Seiberg phases for C^3/Z_3, Y^{4,2} and Y^{6,3} quiver.
dc.description22 pages, five figures
dc.identifierhttps://arxiv.org/abs/hep-th/0604092
dc.identifierhttp://arxiv.org/abs/hep-th/0604092
dc.identifierNucl.Phys.B757:1-18,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.06.030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183227
dc.subjectHigh Energy Physics - Theory
dc.titleFinite Heisenbeg Groups and Seiberg Dualities in Quiver Gauge Theories
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