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Thermal Lie Superalgebras

We derive a general formulation for thermal Lie superalgebras motivated by thermofield dynamics formalism (TFD). Particularly, we construct the thermal Poincaré superalgebras. The operators in TFD are defined through the doubling of the degrees of freedom of the system and it can be related to Hopf algebras. In this way we explore the notion of quantum group associated with these superalgebras and we show the non-commutativity in this thermal scenario. Furthermore, the thermal M-superalgebra is also derived from TFD prescription.