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Conductivity and shear viscosity of arcsin-Yang-Mills AdS black brane

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Abstract

In this paper, a non-abelian arcsin-Yang-Mills AdS black brane solution is introduced. Then, the color non-abelian direct current conductivity and shear viscosity to entropy density ratio of this model is calculated using fluid-gravity duality. Our results show that the Kovtun, Son and Starinets (KSS) bound is saturated and is exactly equal to \(\frac{1}{4 \pi }\) but the color conductivity bound is violated for this model. Also, our outcomes recover the Yang-Mills AdS black brane when the coupling of Yang-Mills and gravity fields approaches zero.

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Notes

  1. The components of t and z in \(\phi (t,r,z)\) are disappeared by Fourier transforms.

  2. We consider \(\frac{1}{e^2}=1\)

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Acknowledgements

Authors would like to thank Reza Saadati, Komeil Babaei, Mojtaba Shahbazi, Farmarz Rahamni.

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Authors and Affiliations

  1. Department of Physics, School of Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran

    Mehdi Sadeghi & S. M. Moosavi Khansari

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  1. Mehdi Sadeghi
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  2. S. M. Moosavi Khansari
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Correspondence to Mehdi Sadeghi.

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Sadeghi, M., Khansari, S.M.M. Conductivity and shear viscosity of arcsin-Yang-Mills AdS black brane. Indian J Phys 98, 1539–1543 (2024). https://doi.org/10.1007/s12648-023-02926-2

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