Entanglement entropy in a non-conformal background

We use gauge-gravity duality to compute entanglement entropy in a non-conformal background with an energy scale Λ. At zero temperature, we observe that entanglement entropy decreases by raising Λ. However, at finite temperature, we realize that both ΛT and entanglement entropy rise together. Comparing entanglement entropy of the non-conformal theory, SA(N), and of its conformal theory at the UV limit, SA(C), reveals that SA(N) can be larger or smaller than SA(C), depending on the values of Λ and T.