On supersymmetry at finite temperature

TL;DR

This paper explores how supersymmetry is preserved in the effective theories of supersymmetric plasmas at finite temperature, extending previous results to include both real and imaginary parts of self-energies across different regimes.

Contribution

It demonstrates that supersymmetry remains intact in the effective theories governing high-energy observables in supersymmetric plasmas, even at finite temperature, including weakly and strongly coupled cases.

Findings

Supersymmetry is preserved in the effective theories at finite temperature.

Thermal effects cause supersymmetry violations to vanish faster than E^{-2} at high energies.

The results extend previous observations to both real and imaginary parts of self-energies, on and off the light cone.

Abstract

We consider the effective theories governing the sensitivity to the plasma of certain high-energy observables in supersymmetric plasmas, and point out that they preserve supersymmetry. Our findings generalize previous observations on symptotic thermal masses in weakly coupled plasmas, to both the real and imaginary parts of self-energies, on the light cone and away from it, in weakly and strongly interacting theories. All observed supersymmetry violations due to thermal effects vanish faster than $E^{-2}$ in the high energy limit.