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

## TL;DR

This paper investigates how thermal fluctuations and logarithmic corrections in the STU black hole model lead to violations of the shear viscosity to entropy ratio, impacting the stability and dual quark-gluon plasma properties.

## Contribution

It introduces the effect of thermal fluctuations on the shear viscosity to entropy ratio in the STU black hole, revealing violations due to logarithmic corrections.

## Key findings

- Thermal fluctuations affect the stability of STU black holes.
- Logarithmic corrections cause violations of the shear viscosity to entropy ratio.
- Deformation of black hole geometry influences dual plasma properties.

## Abstract

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