Central Extensions of Finite Heisenberg Groups in Cascading Quiver Gauge Theories

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dc.creatorBurrington, Benjamin A.
dc.creatorLiu, James T.
dc.creatorZayas, Leopoldo A. Pando
dc.date2006-03-14
dc.date.accessioned2026-07-07T10:46:12Z
dc.date.available2026-07-07T10:46:12Z
dc.descriptionMany conformal quiver gauge theories admit nonconformal generalizations. These generalizations change the rank of some of the gauge groups in a consistent way, inducing a running in the gauge couplings. We find a group of discrete transformation that acts on a large class of these theories. These transformations form a central extension of the Heisenberg group, generalizing the Heisenberg group of the conformal case, when all gauge groups have the same rank. In the AdS/CFT correspondence the nonconformal quiver gauge theory is dual to supergravity backgrounds with both five-form and three-form flux. A direct implication is that operators counting wrapped branes satisfy a central extension of a finite Heisenberg group and therefore do not commute.
dc.description25 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0603114
dc.identifierhttp://arxiv.org/abs/hep-th/0603114
dc.identifierNucl.Phys.B749:245-265,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.05.020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183156
dc.subjectHigh Energy Physics - Theory
dc.titleCentral Extensions of Finite Heisenberg Groups in Cascading Quiver Gauge Theories
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