On the geometry of metastable supersymmetry breaking

Abstract

On the geometry of metastable supersymmetry breakingTo cite this article: Matthew Buican et al JHEP06(2008) Abstract: We give a concise geometric recipe for constructing D-brane gauge theories that exhibit metastable SUSY breaking. We present two simple examples in terms of branes at deformed CY singularities.

Inflation and String Theory

“…As a concrete example, consider placing multiple D-branes at the singular apex of a Calabi-Yau cone, leading to a supersymmetric gauge theory in four dimensions. Some of the resulting gauge theories have metastable vacua in which supersymmetry is dynamically broken [370][371][372][373][374][375][376], while in other cases, such as [377][378][379], there are runaway instabilities in directions parameterized by Kähler moduli [378,380,381]. But even if one finds a configuration of D-branes on a noncompact Calabi-Yau cone leading to a flat space gauge theory that dynamically breaks supersymmetry, establishing that metastability survives compactification is highly non-trivial (but see [374]).…”

Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

“…In this case the Kähler potential reduces to 8) and the Kähler covariant derivative D i reduces to the ordinary derivative ∂ i . An important point is the distinction between normalizable and non-normalizable complex structure moduli in the case of noncompact Calabi-Yau manifolds.…”

“…Assuming that supersymmetry breaking is related to these light degrees of freedom, it is then possible to zoom in towards the singularity and forget about the rest of the Calabi-Yau. This leads us to the study of supersymmetry breaking and string phenomenology in the context of local Calabi-Yau geometries possibly with the addition of probe D3-branes [7,8,9,10,11].…”

Metastable vacua and geometric deformations

“…Recently, some steps have emerged for the grounding of a geometrical interpretation of the features of metastability in simple quiver gauge theories on D-branes near a singularity inside a CY manifold [15,16]. The aim is to phrase the metastable F -type susy breaking in a general geometrical language.…”

“…The aim is to phrase the metastable F -type susy breaking in a general geometrical language. A key point is that the non perturbative dynamics behind the existence of metastable vacua corresponds to deformations of a theory with unbroken suspersymmetry [15]. The deformations regard the superpotential: in the D-brane setting of IIB string theory they are mapped into complex deformations in the local geometry.…”