Dynamical SUSY breaking in meta-stable vacua

Abstract

Dynamical supersymmetry breaking in a long-lived meta-stable vacuum is a phenomenologically viable possibility. This relatively unexplored avenue leads to many new models of dynamical supersymmetry breaking. Here, we present a surprisingly simple class of models with meta-stable dynamical supersymmetry breaking: N = 1 supersymmetric QCD, with massive flavors. Though these theories are strongly coupled, we definitively demonstrate the existence of meta-stable vacua by using the free-magnetic dual. Model building challenges, such as large flavor symmetries and the absence of an R-symmetry, are easily accommodated in these theories. Their simplicity also suggests that broken supersymmetry is generic in supersymmetric field theory and in the landscape of string vacua.

Non-supersymmetric meta-stable vacua in SU(N) SQCD with adjoint matter

“…Indeed, computing the 1-loop corrections, we will find that in the quantum minimum the value of θ is zero while X will get a nonzero vev. This makes our metastable minimum different from the one discovered in [2,5,6] where the quantum corrections didn't give the pseudo-moduli a nonzero vev. Notice also that although we have many vevs different from zero in the non supersymmetric vacua they are all smaller than the natural breaking mass scale…”

“…We consider the free magnetic range (2.5), where the metric on the moduli space is smooth around the origin [2]. The Kahler potential is thus regular and has the canonical form…”

“…The novelty of the approach of [2] relies on theories for which Seiberg-like duality exists i.e. (electric) theories which are asymptotically free in the ultraviolet and strongly coupled in the infrared, where the physics can be described in terms of weakly coupled dual (magnetic) theories (for reviews see [3,4]).…”

“…In the region of small fields this dual description can be studied as a model of pure chiral fields. Supersymmetry is broken by the rank condition [2], i.e. not all the F -term conditions can be satisfied.…”

“…In [2] it has been proved that such corrections generate positive mass terms for the pseudo-moduli leading to long lived metastable vacua. These facts should be tested in different supersymmetric theories.…”