  Many 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.
