TUNING TO $N=2$ SUPERSYMMETRY IN THE SU(2) ADJOINT HIGGS-YUKAWA MODEL

TL;DR

This paper explores the realization of N=2 supersymmetry in the SU(2) adjoint Higgs-Yukawa model using lattice perturbation theory, identifying a non-trivial infrared fixed point and analyzing phase structure at weak couplings.

Contribution

It demonstrates the existence of an N=2 supersymmetric continuum limit and characterizes the phase structure through one-loop effective potential analysis.

Findings

Identified a non-trivial infrared fixed point in coupling ratios.

Determined phase structure at weak couplings.

Established the N=2 supersymmetric continuum limit.

Abstract

The $N=2$ supersymmetric continuum limit is investigated in the SU(2) adjoint Higgs-Yukawa model using lattice perturbation theory. In the one-loop renormalization group equations a non-trivial infrared fixed point of coupling ratios is found. The phase structure at weak couplings is determined by a numerical study of the one-loop effective potential.