A Second Supersymmetry in Thermo Field Dynamics

TL;DR

This paper demonstrates the existence of a second supersymmetry in thermo field dynamics, showing it remains unbroken at finite temperatures, extending previous work on supersymmetry in thermal systems.

Contribution

It introduces a second supersymmetry in thermo field dynamics using SU(1,1) R-symmetry, which was not previously identified or shown to be unbroken at finite temperature.

Findings

Identification of a second supersymmetry in thermo field dynamics.

Demonstration that this supersymmetry remains unbroken at finite temperatures.

Extension of previous supersymmetry results to include a second supersymmetry.

Abstract

This article is an extension of the work done in \cite{partha} by R. Parthasarathy and R. Sridhar. There they consider supersymmetry in an enlarged thermal system (in a thermo field dynamic formulation) and show that this supersymmetry is not broken at finite temperature. Here we show, using an SU(1,1) R-symmetry, that this system obeys a second supersymmetry. In addition, we proceed to see that this new supersymmetry also remains unbroken at finite temperatures.