Abstract
We provide an example of a 4D theory that exhibits the Contino-Pomarol-Rattazzi mechanism, where breaking conformal symmetry by an almost marginal operator leads to a light pseudo-Goldstone boson, the dilaton, and a parametrically suppressed contribution to vacuum energy. We consider SUSY QCD at the edge of the conformal window and break conformal symmetry by weakly gauging a subgroup of the flavor symmetry. Using Seiberg duality we show that for a range of parameters the singlet meson in the dual theory reaches the unitarity bound, however, this theory does not have a stable vacuum. We stabilize the vacuum with soft breaking terms, compute the mass of the dilaton, and determine the range of parameters where the leading contribution to the dilaton mass is from the almost marginal coupling.
Highlights
In superspace [16,17,18] will allow us enough theoretical control to see that weakly gauging a global symmetry of a particular conformal field theory (CFT) results in a light dilaton
We provide an example of a 4D theory that exhibits the Contino-PomarolRattazzi mechanism, where breaking conformal symmetry by an almost marginal operator leads to a light pseudo-Goldstone boson, the dilaton, and a parametrically suppressed contribution to vacuum energy
We have shown that in the context of softly broken and weakly gauged supersymmetric QCD (SQCD), at the bottom edge of the conformal window, we can perturbatively generate soft masses for the singlet meson of the weakly coupled IR dual
Summary
First we will briefly review the dual description of SQCD for F > N + 1. The matter content for SQCD with N colors is given by the table below: SU (N ) SU (F ) SU (F ) U (1)B U (1)R. The R charge assignments are fixed by requiring that the anomaly associated with the insertion of one R current and two gauge currents vanishes. This theory is asymptotically free in the UV for F < 3N , and it becomes strongly coupled at an intrinsic scale Λ. The matter content of the IR theory is: SU (F − N ) SU (F ) SU (F ) U (1)B U (1)R q. For sufficiently small F this theory is weakly coupled in the IR, and becomes strongly coupled at higher energies near the intrinsic scale Λ
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