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The emergence of the quantum gravitational effects in a very high energyregime necessitates some corrections to the thermodynamics of Black holes. Inthis letter, we investigate a possible modification to the thermodynamics ofSchwarzschild anti de Sitter (SAdS) black holes due to rainbow gravity model.Using the correspondence between a $(d+1)-$dimensional SAdS black hole and aconformal filed theory in $d$-dimensional spacetime, one may find thecorrections to the Cardy-Verlinde formula from the modified thermodynamics ofthe black hole. Furthermore, we show that the corrected Cardy-Verlinde formulacan also be derived by redefining the Virasoro operator and the central charge.

From the Schwarzschild Anti de Sitter Black Hole to the Conformal Field Theory