N-ification of Forces: A Holographic Perspective on D-brane Model Building

TL;DR

This paper explores the geometric and holographic properties of supersymmetric standard model extensions with duality cascades, highlighting the emergence of a duality wall and providing methods to estimate hierarchy scales.

Contribution

It introduces an efficient approach to estimate the hierarchy between cascade onset and duality wall formation in holographic D-brane models.

Findings

Identification of duality walls in UV regimes of models

Development of a method to estimate hierarchy scales

Application to a D-brane model on SPP/Z_3 singularity

Abstract

We study geometric aspects of extensions of the supersymmetric standard model that exhibit a periodic duality cascade. Via the holographic correspondence, the growth of the gauge group rank towards the UV is interpreted as a gradual decompactification transition. We show that this class of models typically develop a duality wall in the UV, and present an efficient method for estimating the hierarchy between the on-set of the cascade and the formation of the wall. As an illustrative example, we study the model introduced by Cascales, Saad and Uranga in [14], which has an known geometric realization in terms of D-branes on an SPP/Z_3 singularity.