2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21960This 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.6 pagesCondensed Mattertext