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In this paper, we analyze the effects of thermal fluctuations on a STU blackhole. We observe that these thermal fluctuations can affect the stability of aSTU black hole. We will also analyze the effects of these thermal fluctuationson the thermodynamic of STU black hole. Furthermore, in the Jacobson formalismsuch a modification will produce a deformation of the geometry of the STU blackhole. Hence, we use the AdS/CFT correspondence to analyze the effect of such adeformation on the dual quark-gluon plasma. So, we explicitly analyze theeffect of thermal fluctuations on the shear viscosity to entropy ratio in thequark-gluon plasma, and analyze the effects of thermal fluctuations on thisratio.

The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model