Holographic dual of the Standard Model on the throat

TL;DR

The paper develops a microscopic holographic framework for warped throats built from local Calabi–Yau geometries with flux, where complex deformations yield IR bottoms that host rich gauge dynamics. By focusing on a ℤ3 orbifold of the suspended pinch point, it constructs a tractable throat ending in a C^3/ℤ3 singularity and derives the dual cascading gauge theory that confines in the IR, producing a three-family SM-like sector when D3- and D7-branes are included. It also introduces multi-warp throats, realized as sequential deformations or nested throats, and presents RS-like descriptions of their holographic structure with potential applications to inflation and new physics scales. Altogether, the work provides explicit local geometries and their holographic gauge theories in which the SM emerges as IR composites of a cascading, almost conformal UV theory, offering concrete avenues for string-based model building and phenomenology.

Abstract

We apply recent techniques to construct geometries, based on local Calabi-Yau manifolds, leading to warped throats with 3-form fluxes in string theory, with interesting structure at their bottom. We provide their holographic dual description in terms of RG flows for gauge theories with almost conformal duality cascades and infrared confinement. We describe a model of a throat with D-branes at its bottom, realizing a 3-family Standard Model like chiral sector. We provide the explicit holographic dual gauge theory RG flow, and describe the appearance of the SM degrees of freedom after confinement. As a second application, we describe throats within throats, namely warped throats with discontinuous warp factor in different regions of the radial coordinate, and discuss possible model building applications.

Figures (21)

• Figure 1: Throats with two different infrared behaviours: Figure a) shows a throat based on a geometry which upon complex deformation leaves a 'terminal' singularity. Figure b) shows a throat based on a geometry which upon complex deformation leaves a geometry admitting a further complex deformation (in this case to a completely smooth space).
• Figure 2: Conifold extremal transition. The finite segment in the first figure represents an $S^2$, while the dashed segment in the last figure corresponds to an $S^3$.
• Figure 3: Web diagram and toric diagram for the $\bf C^3/\bf Z_3$ orbifold.
• Figure 4: Web and toric diagrams for diverse examples of geometries $Y$ which admit a complex deformation to the $\bf C^3/\bf Z_3$ singularity. The web diagrams are shown at the origin of the deformation branch, and the subwebs to be removed is shown in red.
• Figure 5: Web diagram for a geometry which admits a complex deformation to the $\bf C^3/\bf Z_3$ orbifold. Figure a) shows the geometry at the origin of the deformation branch, while figure b) shows the geometry with finite size 2- and 4-cycles.