# The SU(3) Sextet Model with Wilson Fermions

## TL;DR

This study uses lattice simulations to analyze the spectrum and infrared properties of the SU(3) sextet model with Wilson fermions, exploring its potential as a Walking Technicolor candidate near the conformal window.

## Contribution

It provides the first detailed lattice investigation of the SU(3) sextet model with Wilson fermions, mapping its phase structure and IR behavior.

## Key findings

- Bulk phase shows signs of chiral symmetry breaking.
- Weak coupling phase appears IR-conformal.
- Model is a promising candidate for Walking Technicolor.

## Abstract

We investigate the spectrum and IR properties of the SU(3) "sextet" model with two Dirac fermions in the two-index symmetric representation via lattice simulations. This model is a prime candidate for a realization of Walking Technicolor, which features a minimal matter content and it is expected to be inside or very close to the lower boundary of the conformal window. We use the Wilson discretization for the fermions and map the phase structure of the lattice model. We study several spectral and gradient flow observables both in the bulk and the weak coupling phases. While in the bulk phase we find clear signs of chiral symmetry breaking, in the weak coupling phase there is no clear indication for it, and instead the chiral limit of the model seems compatible with an IR-conformal behavior.