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In this work, we study the effect of $\kappa$-deformed space on thethermodynamic quantities, this are find through the holographic renormalizationthat provide the free energy, which is fundamental to derive the anotherthermodynamic quantities. For this scenario we consider an charged AdS$_{4}$black hole for an Einstein-Maxwell model where the derivative quadrivector isreplaced by a deformed version inspired in Kaniadakis statistics. Besides, weextract the transport coefficient know as electrical conductivity.

Studies of transport coefficients in charged AdS$_{4}$ black holes on $\kappa$-deformed space