SUSY 3D Georgi-Glashow model at finite temperature

TL;DR

This paper investigates the finite-temperature phase transitions of the supersymmetric (2+1)D Georgi-Glashow model, revealing simultaneous deconfinement and parity restoration at a Berezinsky-Kosterlitz-Thouless transition point.

Contribution

It provides the first analysis of the finite-temperature behavior of the supersymmetric Georgi-Glashow model, highlighting the nature of its phase transition.

Findings

Deconfinement and parity restoration occur at the same critical temperature.

The phase transition is of the Berezinsky-Kosterlitz-Thouless type.

Parity symmetry is spontaneously broken at zero temperature by the bilinear photino condensate.

Abstract

We study the finite-temperature properties of the supersymmetric version of (2+1)D Georgi-Glashow model. As opposed to its nonsupersymmetric counterpart, the parity symmetry in this theory at zero temperature is spontaneously broken by the bilinear photino condensate. We find that as the temperature is raised, the deconfinement and the parity restoration occur in this model at the same point $T_c=g^2/8\pi$. The transition is continuous, but is not of the Ising type as in nonsupersymmetric Georgi-Glashow model, but rather of the Berezinsky-Kosterlitz-Thouless type as in $Z_4$-invariant spin model.