Landscape of supersymmetry breaking vacua in geometrically realized gauge theories

Abstract

We study vacuum structure of N = 1 supersymmetric quiver gauge theories which can be realized geometrically by D brane probes wrapping cycles of local Calabi-Yau threefolds. In particular, we show that the A 2 quiver theory with gauge group U (N 1 ) × U (N 2 ) with 1 2 N 1 < N 2 < 2 3 N 1 has a regime with an infrared free description that is partially magnetic and partially electric. Using this dual description, we show that the model has a landscape of inequivalent meta-stable vacua where supersymmetry is dynamically broken and all the moduli are stabilized. Each vacuum has distinct unbroken gauge symmetry. The gaugino masses are generated by radiative corrections, and we are left with the bosonic pure Yang-Mills theory in the infrared. We also identify the supersymmetric vacua in this model using their infrared free descriptions and show that the decay rates of the supersymmetry breaking vacua can be made parametrically small.

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…”

“…The first term in (4.9), (4.10), being independent of the deformations (ρ, η, ζ), agrees with [2]. The second term in (4.9) is the same as in [6].…”

“…There must be enough F and/or D equations to give tree level masses. A viable model, of string origin, with two gauge groups has been presented in [6].…”

Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

“…From a phenomenological point of view this possibility is quite attractive, and a lot of activity has been concentrated around extensions of the ISS model and various related string theory constructions [13,14,15,16,17,18,19,20,21,22] (see also [23]). A certain class of gauge theories where supersymmetry breaking in metastable vacua can be studied with good control is that of N = 2 gauge theories perturbed by a small superpotential, initiated by [24].…”

Dynamical SUSY and R-symmetry breaking in SQCD with massive and massless flavors

“…2 2 A similar idea in a different context was proposed in [31] to explain the hierarchy between the Planck scale and the GUT scale. See also [29,32,33] for recent models based on massive SQCD where dangerous pseudo-moduli directions were stabilized with higher-dimension operators.…”