Holographic Walking Technicolor and Stability of Techni-Branes

TL;DR

This paper investigates the stability of D7-anti-D7 brane embeddings in a holographic walking technicolor model, finding that stability depends on the bulk cut-off and the length of the walking region, impacting model viability.

Contribution

It analyzes the stability conditions of techni-branes in a holographic model, highlighting the importance of bulk cut-off and walking region length for realistic electroweak symmetry breaking.

Findings

Small fluctuations at low bulk cut-off

Destabilization occurs with longer walking regions and larger cut-offs

Stability depends on the interplay between cut-off and walking length

Abstract

Techni-fermions are added as stacks of D7-anti-D7 techni-branes within the framework of a holographic technicolor model that has been proposed as a realization of walking technicolor. The stability of the embedding of these branes is determined. When a sufficiently low bulk cut-off is provided the fluctuations remain small. For a longer walking region, as would be required in any realistic model of electroweak symmetry breaking, a larger bulk cut-off is needed and in this case the oscillations destabilize.